What are the solutions to the equation x(x-7)=120 ?

The solutions to the equation x(x-7)=120 are x=15,x=-8

Find the zeros of x(x-7)=120

The zeros of x(x-7)=120 are x=15,x=-8

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x (x - 7) = 120

x = 15, x = - 8

Solution steps

x (x - 7) = 120

Expand

x (x - 7) : x^{2} - 7 x

x^{2} - 7 x = 120

Move

120

to the left side

x^{2} - 7 x - 120 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 120 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 120) = 23

x_{1, 2} = \frac{- ( - 7 ) \pm 23}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 23}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 23}{2 \cdot 1}

x = \frac{- ( - 7 ) + 23}{2 \cdot 1} : 15

x = \frac{- ( - 7 ) - 23}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = 15, x = - 8

1 - 22

∣ x ∣ - 7 = 6

\frac{39 t ^{4} u v ^{- 2}}{13 t ^{- 3} u ^{7}}

∣ 7 + 6 a ∣ < 5

(x - 2)^{2} - 25

What are the solutions to the equation x(x-7)=120 ?
The solutions to the equation x(x-7)=120 are x=15,x=-8
Find the zeros of x(x-7)=120
The zeros of x(x-7)=120 are x=15,x=-8