What are the solutions to the equation x^2-25x=-100 ?

The solutions to the equation x^2-25x=-100 are x=20,x=5

Find the zeros of x^2-25x=-100

The zeros of x^2-25x=-100 are x=20,x=5

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x^{2} - 25 x = - 100

x = 20, x = 5

Solution steps

x^{2} - 25 x = - 100

Move

100

to the left side

x^{2} - 25 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

(- 25)^{2} - 4 \cdot 1 \cdot 100 = 15

x_{1, 2} = \frac{- ( - 25 ) \pm 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 15}{2 \cdot 1}, x_{2} = \frac{- ( - 25 ) - 15}{2 \cdot 1}

x = \frac{- ( - 25 ) + 15}{2 \cdot 1} : 20

x = \frac{- ( - 25 ) - 15}{2 \cdot 1} : 5

The solutions to the quadratic equation are:

x = 20, x = 5

x^{2} = 45 - 4 x

(x - 3) (x + 7) = 11

2 x^{2} + 3 x - 20 = 0

2 x^{2} - 12 x + 4 = 0

x^{2} = 2 x - 8

What are the solutions to the equation x^2-25x=-100 ?
The solutions to the equation x^2-25x=-100 are x=20,x=5
Find the zeros of x^2-25x=-100
The zeros of x^2-25x=-100 are x=20,x=5