Answered

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 :

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,

[tex]3x-x^2=-70[/tex]

then,

[tex]x^2-3x-70=0[/tex]

by solving , we get

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

Final Answer

quadratic equation =

[tex]x^2-3x-70=0[/tex]

and factors are -7 and 10

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