What are the solutions to the equation -7x-90+5x^2=0 ?

The solutions to the equation -7x-90+5x^2=0 are x=5,x=-18/5

Find the zeros of -7x-90+5x^2=0

The zeros of -7x-90+5x^2=0 are x=5,x=-18/5

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- 7 x - 90 + 5 x^{2} = 0

x = 5, x = - \frac{18}{5}

Decimal Notation

x = 5, x = - 3.6

Solution steps

- 7 x - 90 + 5 x^{2} = 0

Write in the standard form

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

5 x^{2} - 7 x - 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 ( - 90 )}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 (- 90) = 43

x_{1, 2} = \frac{- ( - 7 ) \pm 43}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 43}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 43}{2 \cdot 5}

x = \frac{- ( - 7 ) + 43}{2 \cdot 5} : 5

x = \frac{- ( - 7 ) - 43}{2 \cdot 5} : - \frac{18}{5}

The solutions to the quadratic equation are:

x = 5, x = - \frac{18}{5}

x^{2} = 9 (x - 2)

a^{2} - 11 a + 18 = 0

x, y^{4} (x) - 8 y^{2} (x) + 16 y = x^{2}

3 x (x + 2) (2 x - 3) + 4 = 2 x (3 x - 2) (x + 2) + 3

2 x^{2} = 5 x + 9

What are the solutions to the equation -7x-90+5x^2=0 ?
The solutions to the equation -7x-90+5x^2=0 are x=5,x=-18/5
Find the zeros of -7x-90+5x^2=0
The zeros of -7x-90+5x^2=0 are x=5,x=-18/5