Short Answer

Solve $x^{2} - 7 x - 30 = 0 .$

The solution of the given equation is and $x = - 3 a n d x = 10 .$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The given equation is $x^{2} - 7 x - 30 = 0$

We have to find the solution of the equation i.e the value of $x$ that satisfies the given equation.

Step 2. Form the factors

$\begin{array}{l} The given equation is x^{2} - 7 x - 30 = 0. \\ \Rightarrow x^{2} - 7 x - 30 = 0 \\ \Rightarrow x^{2} + 3 x - 10 x - 30 = 0 [Split the middle term] \\ \Rightarrow x (x + 3) - 10 (x + 3) = 0 [Take out the common terms] \\ \Rightarrow (x - 10) (x + 3) = 0 [Form the factors] \end{array}$

Step 3. Solve for x

$\begin{array}{l} By zero product rule, \\ \Rightarrow x - 10 = 0 \\ \Rightarrow x = 10 \\ and, \\ \Rightarrow x + 3 = 0 \\ \Rightarrow x = - 3 \\ The solution set is \{- 3, 10\} \end{array}$

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Solve $x^{2} - 7 x - 30 = 0 .$

Step by Step Solution

Step 1. Given information

Step 2. Form the factors

Step 3. Solve for x

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve x2−7x−30=0 .

Step by Step Solution

Step 1. Given information

Step 2. Form the factors

Step 3. Solve for x

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Solve $x^{2} - 7 x - 30 = 0 .$