Finding Discriminants
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10
Determine the discriminant of the following quadratic:
Determine the discriminant of the following quadratic:
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Because the value of the discriminant was , that means the quadratic equation will have solutions.
Match the each power of i to its correct expression.
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Match the each power of i to its correct expression.
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| arrow_right_alt | or | |
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Simplify this radical. (Don't forget to split your answer into two parts.)
1st Solution
2nd Solution
Simplify this radical. (Don't forget to split your answer into two parts.)
1st Solution
2nd Solution
Simplify each expression.
Simplify each expression.
Simplify each expression. Final answers must be in a + bi form.
Simplify each expression. Final answers must be in a + bi form.
Simplify each expression. Final answers must be in a + bi form.
Simplify each expression. Final answers must be in a + bi form.
Simplify each expression. Final answers must be in a + bi form.
Solve using the square roots method. Write the answer in simplest form.
Solution 1
Solution 2
Solve each Quadratic Equation (Don't use the variable in your answer.)
1st solution
2nd solution
Solve using the square roots method. Write the answer in simplest form.
Solution 1
Solution 2
Determine the discriminant of the following quadratic:
Because the value of the discriminant was , that means the quadratic equation will have solutions.
Determine the discriminant of the following quadratic:
Because the value of the discriminant was , that means the quadratic equation will have solutions.
The best way to solve this quadratic equation is to
Determine the discriminant of the following quadratic:
Because the value of the discriminant was , that means the quadratic equation will have solutions.
The best way to solve this quadratic equation is to
Solve this Quadratic Equation using the quadratic formula:
Put this equation in Standard Form:
Find
a=
b=
c=
solution 1
x=
solution 2
x=
Solve this Real World Quadratic Equation word problem. Pick any method to solve.
The length of a rectangle is 3 more than the width. If the area is 40 square inches, what are the dimensions?
Length
Width
Solve this Real World Quadratic Equation word problem. Pick any method to solve.
The length of a rectangle is 4ft greater than the width. If each dimension is increased by 3, the new area will be 33 square feet larger. Find the dimensions of the original rectangle.
Length
Width
Rewrite the equation by completing the square.
3x² -12x + 15= 0
First you need to divide the left side and the right side by
What is the new middle term?
Now move the constant term by
So now you have
Now take half of the coefficient of the new middle term and combine it with x inside the parentheses to create a perfect square trinomial on the left and square it and add it to the right side.
(x
Rewrite the equation by completing the square.
x² + 6x = 0
can be rewritten as
(x
Rewrite the equation by completing the square.
x² -10x = 0
can be rewritten as
(x
Solve using the square roots method. Write the answer in simplest form.
Solution 1
Solution 2
Solve using the square roots method. Write the answer in simplest form.
Solution 1
Solution 2
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)
1st solution
2nd solution
Solve each Quadratic Equation by Completing the Square (Don't use the variable in your answer.)
1st solution
2nd solution
Determine the discriminant of the following quadratic:
Because the value of the discriminant was , that means the quadratic equation will have solutions.
Solve this Quadratic Equation using the quadratic formula:
Remember that you already converted this into Standard Form
solution 1
x=
solution 2
x=
Solve this Quadratic Equation using the quadratic formula:
Remember that you already converted this into Standard Form
solution 1
x=
solution 2
x=
Solve this Quadratic Equation using the quadratic formula:
Put this equation in Standard Form:
Find
a=
b=
c=
solution 1
x=
solution 2
x=
Solve this Quadratic Equation using the quadratic formula:
a=
b=
c=
solution 1
x=
solution 2
x=
Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.
A ball is thrown into the air by a person. Its height above the ground, h (measured in feet), at any given time after the ball is thrown, t (measured in seconds), can be modelled using the quadratic function h(t) = -16t² + 16t + 5.
From what height is the ball thrown?
When did it hit the ground?
What is the ball's maximum height?
Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equations h(t) = -16t²+ 128t (if air resistance is neglected).
How long will it take for the rocket to return to the ground?
What is the ball's maximum height?
How long will it take the rocket to hit its maximum height?
