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Work backwards to write a quadratic equation that will have solutions of x = 3 and x = -7

Work backwards to write a quadratic equation that will have solutions of x = 3 and-example-1
User Eolsson
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1 Answer

4 votes

Given:

There are given that the solutions of x are 3 and -7.

Step-by-step explanation:

From the given value of x,


\begin{gathered} x-3=0\text{ and} \\ x+7=0 \end{gathered}

Then, two binomials that make up the quadratic are:


(x-3)(x+7)=0

Then,

Solve the above factor:


\begin{gathered} (x-3)(x+7)=0 \\ x^2+7x-3x-(3)(7)=0 \\ x^2+4x-21=0 \end{gathered}

Final answer:

Hence, the quadratic equation is shown below;


x^2+4x-21=0

User Novitzky
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