What are the solutions to the equation x(x-15)=100 ?

The solutions to the equation x(x-15)=100 are x=20,x=-5

Find the zeros of x(x-15)=100

The zeros of x(x-15)=100 are x=20,x=-5

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x (x - 15) = 100

x = 20, x = - 5

Solution steps

x (x - 15) = 100

Expand

x (x - 15) : x^{2} - 15 x

x^{2} - 15 x = 100

Move

100

to the left side

x^{2} - 15 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 20, x = - 5

x, x^{2} + 4 x y + 4 y^{2} - 3 x + 4 y - 10 = 0

x (x + 1) - (4 - x) (x + 1) = 6 (4 - x)

y, z^{2} = x^{2} + y^{2}

4 x^{2} - 4 x = 15

- 4 x^{2} + 37 x + 30 = 0

What are the solutions to the equation x(x-15)=100 ?
The solutions to the equation x(x-15)=100 are x=20,x=-5
Find the zeros of x(x-15)=100
The zeros of x(x-15)=100 are x=20,x=-5