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Laabri

164 REV DAY 2 - solving

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Last updated about 5 years ago
9 Nsɛmmisa
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Review of Solving Equations

You should be able to

  • solve a quadratic as a by-product of any work you do for the equations of this semester (usually factoring, if you cannot factor it, by the quadratic formula)

  • factor a polynomial by grouping to solve its equation

  • Given a polynomial and a factor, use division to find all of the zeros.

  • solve a square root equation by squaring both sides

  • solve exponentials with a common base for an exact answer, or with log to get a rounded answer

  • solve logarithmic equation using properties of logarithm

  • factor to find a common denominator to use to solve rational equations (and reject answers when appropriate)

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve x^{2}-6x+8=0

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2.

Solve 2x^{3}+3x^{2}-2x-3=0

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3.

Find all zeros if:

p(x) = 2x^{3}-13x^2+5x+6 and f(x)=x-6 is a factor.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve \sqrt{3x+1}+5=10

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5.

Solve 27^{-2x-12}=243^{-5x-13}

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6.

Solve (round to the nearest hundredth) 3^{x}=11

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7.

Solve, give an exact answer: 2\ln(5x-1)+4=10

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Solve: \log_7(2x-6)+\log_7(4x-5)=2

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9.

Solve: 1+\frac{5}{x-1}=\frac{3x+7}{x^2-1}