What are the solutions to the equation x+x^2=72 ?

The solutions to the equation x+x^2=72 are x=8,x=-9

Find the zeros of x+x^2=72

The zeros of x+x^2=72 are x=8,x=-9

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x + x^{2} = 72

x = 8, x = - 9

Solution steps

x + x^{2} = 72

Move

72

to the left side

x + x^{2} - 72 = 0

Write in the standard form

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

x^{2} + x - 72 = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 8, x = - 9

x^{2} - 2 x - 4 = - 2 x + 5 - 2 x + 5

1 - x^{2} = 1 - x

5 x^{2} = 7 x

x^{2} + x + 36 = 0

4 x^{2} = 16 x + 25

What are the solutions to the equation x+x^2=72 ?
The solutions to the equation x+x^2=72 are x=8,x=-9
Find the zeros of x+x^2=72
The zeros of x+x^2=72 are x=8,x=-9