What are the solutions to the equation x(x-17)+72=0 ?

The solutions to the equation x(x-17)+72=0 are x=9,x=8

Find the zeros of x(x-17)+72=0

The zeros of x(x-17)+72=0 are x=9,x=8

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x (x - 17) + 72 = 0

x = 9, x = 8

Solution steps

x (x - 17) + 72 = 0

Expand

x (x - 17) + 72 : x^{2} - 17 x + 72

x^{2} - 17 x + 72 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 1 \cdot 72}{2 \cdot 1}

(- 17)^{2} - 4 \cdot 1 \cdot 72 = 1

x_{1, 2} = \frac{- ( - 17 ) \pm 1}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 1}{2 \cdot 1}, x_{2} = \frac{- ( - 17 ) - 1}{2 \cdot 1}

x = \frac{- ( - 17 ) + 1}{2 \cdot 1} : 9

x = \frac{- ( - 17 ) - 1}{2 \cdot 1} : 8

The solutions to the quadratic equation are:

x = 9, x = 8

5 y^{2} - 9 y - 18

3 b^{2} - 14 b + 8

80 x \geq 55 x + 450

4 x^{2} y - 24 x y + 36 y

25 a^{2} - 36

What are the solutions to the equation x(x-17)+72=0 ?
The solutions to the equation x(x-17)+72=0 are x=9,x=8
Find the zeros of x(x-17)+72=0
The zeros of x(x-17)+72=0 are x=9,x=8