What are the solutions to the equation -8x+3x^2=18 ?

The solutions to the equation -8x+3x^2=18 are x=(4+sqrt(70))/3 ,x=(4-sqrt(70))/3

Find the zeros of -8x+3x^2=18

The zeros of -8x+3x^2=18 are x=(4+sqrt(70))/3 ,x=(4-sqrt(70))/3

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- 8 x + 3 x^{2} = 18

x = \frac{4 + 70}{3}, x = \frac{4 - 70}{3}

Decimal Notation

x = 4.12220 \dots, x = - 1.45553 \dots

Solution steps

- 8 x + 3 x^{2} = 18

Move

18

to the left side

- 8 x + 3 x^{2} - 18 = 0

Write in the standard form

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

3 x^{2} - 8 x - 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 18 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 18) = 270

x_{1, 2} = \frac{- ( - 8 ) \pm 2 70}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 70}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 70}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 70}{2 \cdot 3} : \frac{4 + 70}{3}

x = \frac{- ( - 8 ) - 2 70}{2 \cdot 3} : \frac{4 - 70}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 70}{3}, x = \frac{4 - 70}{3}

5 x + 18 = 45

6 \cdot 1.5

k^{2} + 8 k

32 x^{2} y - 8 y

x^{3} - 4 x^{2} + 16 x - 64

What are the solutions to the equation -8x+3x^2=18 ?
The solutions to the equation -8x+3x^2=18 are x=(4+sqrt(70))/3 ,x=(4-sqrt(70))/3
Find the zeros of -8x+3x^2=18
The zeros of -8x+3x^2=18 are x=(4+sqrt(70))/3 ,x=(4-sqrt(70))/3