What are the solutions to the equation 60-2x^2=x^2+9x+30 ?

The solutions to the equation 60-2x^2=x^2+9x+30 are x=2,x=-5

Find the zeros of 60-2x^2=x^2+9x+30

The zeros of 60-2x^2=x^2+9x+30 are x=2,x=-5

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60 - 2 x^{2} = x^{2} + 9 x + 30

x = 2, x = - 5

Solution steps

60 - 2 x^{2} = x^{2} + 9 x + 30

Switch sides

x^{2} + 9 x + 30 = 60 - 2 x^{2}

Move

2 x^{2}

to the left side

3 x^{2} + 9 x + 30 = 60

Move

60

to the left side

3 x^{2} + 9 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 3 ( - 30 )}{2 \cdot 3}

9^{2} - 4 \cdot 3 (- 30) = 21

x_{1, 2} = \frac{- 9 \pm 21}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 9 + 21}{2 \cdot 3}, x_{2} = \frac{- 9 - 21}{2 \cdot 3}

x = \frac{- 9 + 21}{2 \cdot 3} : 2

x = \frac{- 9 - 21}{2 \cdot 3} : - 5

The solutions to the quadratic equation are:

x = 2, x = - 5

\frac{5 n + 15}{4 n + 8} \cdot \frac{2 n + 4}{3 n + 9}

\frac{1}{x + 2} \geq 0

ab + 6 b - 2 a - 12

3 r^{2} + 2 r = 0.375

x^{4} + 25 x^{2}

What are the solutions to the equation 60-2x^2=x^2+9x+30 ?
The solutions to the equation 60-2x^2=x^2+9x+30 are x=2,x=-5
Find the zeros of 60-2x^2=x^2+9x+30
The zeros of 60-2x^2=x^2+9x+30 are x=2,x=-5