What are the solutions to the equation -2x+5=x^2-3x-85 ?

The solutions to the equation -2x+5=x^2-3x-85 are x=10,x=-9

Find the zeros of -2x+5=x^2-3x-85

The zeros of -2x+5=x^2-3x-85 are x=10,x=-9

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- 2 x + 5 = x^{2} - 3 x - 85

x = 10, x = - 9

Solution steps

- 2 x + 5 = x^{2} - 3 x - 85

Switch sides

x^{2} - 3 x - 85 = - 2 x + 5

Move

5

to the left side

x^{2} - 3 x - 90 = - 2 x

Move

2 x

to the left side

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} : 10

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

The solutions to the quadratic equation are:

x = 10, x = - 9

x^{2} + 16 x + 17 = 0

(14 - m) x^{2} + (7 + m) x + (m - 2) = 0

300 = (75 x - 0.5 x^{2}) - (35 x + 300)

3 x^{2} - 8 = 4

2 y^{2} - 2 y - 4 = 0

What are the solutions to the equation -2x+5=x^2-3x-85 ?
The solutions to the equation -2x+5=x^2-3x-85 are x=10,x=-9
Find the zeros of -2x+5=x^2-3x-85
The zeros of -2x+5=x^2-3x-85 are x=10,x=-9