What are the solutions to the equation x(x+5)=24 ?

The solutions to the equation x(x+5)=24 are x=3,x=-8

Find the zeros of x(x+5)=24

The zeros of x(x+5)=24 are x=3,x=-8

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x (x + 5) = 24

x = 3, x = - 8

Solution steps

x (x + 5) = 24

Expand

x (x + 5) : x^{2} + 5 x

x^{2} + 5 x = 24

Move

24

to the left side

x^{2} + 5 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 24 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 24) = 11

x_{1, 2} = \frac{- 5 \pm 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 11}{2 \cdot 1}, x_{2} = \frac{- 5 - 11}{2 \cdot 1}

x = \frac{- 5 + 11}{2 \cdot 1} : 3

x = \frac{- 5 - 11}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = 3, x = - 8

2 x - 17 = 2

(x - 2)^{2} = 7

x^{2} + 7 x = 4

5 x - 1 = 14

16 x^{2} = 80 x

What are the solutions to the equation x(x+5)=24 ?
The solutions to the equation x(x+5)=24 are x=3,x=-8
Find the zeros of x(x+5)=24
The zeros of x(x+5)=24 are x=3,x=-8