What are the solutions to the equation x(x+5)=414 ?

The solutions to the equation x(x+5)=414 are x=18,x=-23

Find the zeros of x(x+5)=414

The zeros of x(x+5)=414 are x=18,x=-23

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x (x + 5) = 414

x = 18, x = - 23

Solution steps

x (x + 5) = 414

Expand

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

x^{2} + 5 x = 414

Move

414

to the left side

x^{2} + 5 x - 414 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 414 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 414) = 41

x_{1, 2} = \frac{- 5 \pm 41}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 41}{2 \cdot 1}, x_{2} = \frac{- 5 - 41}{2 \cdot 1}

x = \frac{- 5 + 41}{2 \cdot 1} : 18

x = \frac{- 5 - 41}{2 \cdot 1} : - 23

The solutions to the quadratic equation are:

x = 18, x = - 23

x, x^{2} + x y - 2 y^{2} = 0

x, f (x + 2) = 3 x^{2} + 2 x - 4

x^{2} + 8 x + 16 - 4 a^{2} = 0

4.68 X^{2} - 15.5 X + 12.43 = 0

(x + 4) (x + 5) = 6

What are the solutions to the equation x(x+5)=414 ?
The solutions to the equation x(x+5)=414 are x=18,x=-23
Find the zeros of x(x+5)=414
The zeros of x(x+5)=414 are x=18,x=-23