What are the solutions to the equation x(x-2)=35 ?

The solutions to the equation x(x-2)=35 are x=7,x=-5

Find the zeros of x(x-2)=35

The zeros of x(x-2)=35 are x=7,x=-5

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x (x - 2) = 35

x = 7, x = - 5

Solution steps

x (x - 2) = 35

Expand

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

x^{2} - 2 x = 35

Move

35

to the left side

x^{2} - 2 x - 35 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 35 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 35) = 12

x_{1, 2} = \frac{- ( - 2 ) \pm 12}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 12}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 12}{2 \cdot 1}

x = \frac{- ( - 2 ) + 12}{2 \cdot 1} : 7

x = \frac{- ( - 2 ) - 12}{2 \cdot 1} : - 5

The solutions to the quadratic equation are:

x = 7, x = - 5

5 n^{2} + 3 n = 0

- 8 p + 14 = 42

5^{2} + 7^{2}

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

- 6 (x - 1) - 7 = - 7 x + 2

What are the solutions to the equation x(x-2)=35 ?
The solutions to the equation x(x-2)=35 are x=7,x=-5
Find the zeros of x(x-2)=35
The zeros of x(x-2)=35 are x=7,x=-5