What are the solutions to the equation x(x+15)=10^2 ?

The solutions to the equation x(x+15)=10^2 are x=5,x=-20

Find the zeros of x(x+15)=10^2

The zeros of x(x+15)=10^2 are x=5,x=-20

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x (x + 15) = 1 0^{2}

x = 5, x = - 20

Solution steps

x (x + 15) = 1 0^{2}

Expand

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

Expand

1 0^{2} : 100

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 1 5 ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

1 5^{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} : 5

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

The solutions to the quadratic equation are:

x = 5, x = - 20

- x^{2} + 6 x - 3 = 0

(x + 3) (x - 4) = (2 x + 2) (x - 6)

x^{2} = 12 - 4 x

a^{2} + 4 a - 32 = 0

2 x^{2} + 28 x + 7 = 8 x

What are the solutions to the equation x(x+15)=10^2 ?
The solutions to the equation x(x+15)=10^2 are x=5,x=-20
Find the zeros of x(x+15)=10^2
The zeros of x(x+15)=10^2 are x=5,x=-20