13.Activity/Notes

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Graphing allows us to use the x - axis to detect number of solutions and state those solutions.

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2 solutions
1 solution
No solution

Typically we would try to get x by itself but we have two x terms of different powers so we can't isolate them easily. So it is easiest to make one side zero and graph the quadratic to see where the intercepts are.

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What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.
Example: x2 + 5x + 4 = 0

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What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.
Example: x2 + 15x + 14 = 0

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Solve. x2 + 4x = 0

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Solve. x2 + 16x + 64= 0

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Solve. x2 + 2= 0

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Solve. 5x2 + 11x + 2 = 0

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Solve. 2x2 - 9x + 4 = 0

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Graphing allows us to use the x - axis to detect number of solutions and state those solutions.

What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.Example: x2 + 5x + 4 = 0

What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.Example: x2 + 15x + 14 = 0

Solve. x2 + 4x = 0

Solve. x2 + 16x + 64= 0

Solve. x2 + 2= 0

Solve. 5x2 + 11x + 2 = 0

Solve. 2x2 - 9x + 4 = 0

Solve. 5x2 -22x - 48 = 0

What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.
Example: x2 + 5x + 4 = 0

What does x equal? We need to look at the x - intercepts. The graph value when y is 0 tells us what x is.
Example: x2 + 15x + 14 = 0