What are the solutions to the equation factor x^2=x+90 ?

The solutions to the equation factor x^2=x+90 are x=-9,x=10

Find the zeros of factor x^2=x+90

The zeros of factor x^2=x+90 are x=-9,x=10

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x^{2} = x + 90

x = - 9, x = 10

Solution steps

x^{2} = x + 90

Move

90

to the left side

x^{2} - 90 = x

Move

x

to the left side

x^{2} - 90 - x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - x - 90 = 0

Factor

x^{2} - x - 90 : (x + 9) (x - 10)

(x + 9) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 9 = 0 or x - 10 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x - 10 = 0 : x = 10

The solutions to the quadratic equation are:

x = - 9, x = 10

9 m^{2} + 6 m + 6 = 5

m^{2} - 7 m + 10 = 0

x^{2} - 8 x = - 1

12 a^{3} - 15 x^{2} + 16 x - 20 = 0

x^{2} + (x + 1)^{2} + (x + 2)^{2} = 434

What are the solutions to the equation factor x^2=x+90 ?
The solutions to the equation factor x^2=x+90 are x=-9,x=10
Find the zeros of factor x^2=x+90
The zeros of factor x^2=x+90 are x=-9,x=10