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

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

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

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

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

x = 20, x = - 5

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 ( - 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^{3} + 2 x^{2} - x - 2 < 0

\frac{5 ^{1}}{5 ^{4}}

\frac{1}{2 - x ^{2}} \geq \frac{16 x}{x ^{2} - 2} + 8 x

x^{2} + 10 x + 42 = - 3 x + 2

\frac{- 5 - 2 i}{- 3 + 5 i}

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