Chapter 11: Q 35. (page 1069)

Solve quadratic equation ${(5 c + 1)}^{2} = - 27$ using square root property

Short Answer

Expert verified

The values of $c$ are $\frac{- 1 - 3 \sqrt{3} ι}{5}$ and $\frac{- 1 + 3 \sqrt{3} ι}{5}$

Step by step solution

Step 1. Given information

The quadratic equation ${(5 c + 1)}^{2} = - 27$

Step 2. Use square root property

$\Rightarrow 5 c + 1 = \pm \sqrt{- 27}$

$\Rightarrow 5 c = - 1 \pm 3 \sqrt{3} ι$

$\Rightarrow c = \frac{- 1 \pm 3 \sqrt{3} ι}{5}$

localid="1645626198613" $\Rightarrow c = \frac{- 1 - 3 \sqrt{3} ι}{5}$ andlocalid="1645626208602" $c = \frac{- 1 + 3 \sqrt{3} ι}{5}$

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Solve quadratic equation ${(5 c + 1)}^{2} = - 27$ using square root property

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use square root property

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Step by step solution

Step 1. Given information

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Solve quadratic equation ${(5 c + 1)}^{2} = - 27$ using square root property