Question

A number squared subtracted from 3 times the number is equal to negative 70.Set up and solve a quadratic equation, then solve by factoring.

Answer 1

Given

Number squared subtracted fom 3 times the number is equal to negative 70.

Find

Set up quadratic equation and solve by factoring

Explanation

Let the number be x.

according to the question,

$3x-x^2=-70$

then,

$x^2-3x-70=0$

by solving , we get

$\begin{gathered} x^2-3x-70=0 \\ (x+7)(x-10)=0 \\ x=-7,x=10 \end{gathered}$

Final Answer

quadratic equation =

$x^2-3x-70=0$

and factors are -7 and 10