What are the solutions to the equation x+x^2-90=0 ?

The solutions to the equation x+x^2-90=0 are x=9,x=-10

Find the zeros of x+x^2-90=0

The zeros of x+x^2-90=0 are x=9,x=-10

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x + x^{2} - 90 = 0

x = 9, x = - 10

Solution steps

x + x^{2} - 90 = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + x - 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 90 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 90) = 19

x_{1, 2} = \frac{- 1 \pm 19}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 19}{2 \cdot 1}, x_{2} = \frac{- 1 - 19}{2 \cdot 1}

x = \frac{- 1 + 19}{2 \cdot 1} : 9

x = \frac{- 1 - 19}{2 \cdot 1} : - 10

The solutions to the quadratic equation are:

x = 9, x = - 10

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

x^{2} + \frac{1}{3} x + 1 = 0

a^{2} = 9 + 16

p^{2} + 42 = 13 p

150 = 200 - 20 t + 2 t^{2}

What are the solutions to the equation x+x^2-90=0 ?
The solutions to the equation x+x^2-90=0 are x=9,x=-10
Find the zeros of x+x^2-90=0
The zeros of x+x^2-90=0 are x=9,x=-10