What are the solutions to the equation 0=x^2-3/2 x-70/8 ?

The solutions to the equation 0=x^2-3/2 x-70/8 are x=(3+sqrt(149))/4 ,x=(3-sqrt(149))/4

Find the zeros of 0=x^2-3/2 x-70/8

The zeros of 0=x^2-3/2 x-70/8 are x=(3+sqrt(149))/4 ,x=(3-sqrt(149))/4

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0 = x^{2} - \frac{3}{2} x - \frac{70}{8}

x = \frac{3 + 149}{4}, x = \frac{3 - 149}{4}

Decimal Notation

x = 3.80163 \dots, x = - 2.30163 \dots

Solution steps

0 = x^{2} - \frac{3}{2} x - \frac{70}{8}

Find Least Common Multiplier of

2, 8 : 8

Multiply by LCM=

8

0 \cdot 8 = x^{2} \cdot 8 - \frac{3}{2} x \cdot 8 - \frac{70}{8} \cdot 8

Simplify

0 = 8 x^{2} - 12 x - 70

Switch sides

8 x^{2} - 12 x - 70 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 8 ( - 70 )}{2 \cdot 8}

(- 12)^{2} - 4 \cdot 8 (- 70) = 4149

x_{1, 2} = \frac{- ( - 12 ) \pm 4 149}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 4 149}{2 \cdot 8}, x_{2} = \frac{- ( - 12 ) - 4 149}{2 \cdot 8}

x = \frac{- ( - 12 ) + 4 149}{2 \cdot 8} : \frac{3 + 149}{4}

x = \frac{- ( - 12 ) - 4 149}{2 \cdot 8} : \frac{3 - 149}{4}

The solutions to the quadratic equation are:

x = \frac{3 + 149}{4}, x = \frac{3 - 149}{4}

x, x^{2} y + 3 y^{3} = 24

6 x^{2} - 6 x - 12

x^{2} + 40 = - 14 x

y, x - \frac{x ^{3}}{4} - \frac{x y ^{2}}{3} = 0

x^{2} + 4 = - 5

What are the solutions to the equation 0=x^2-3/2 x-70/8 ?
The solutions to the equation 0=x^2-3/2 x-70/8 are x=(3+sqrt(149))/4 ,x=(3-sqrt(149))/4
Find the zeros of 0=x^2-3/2 x-70/8
The zeros of 0=x^2-3/2 x-70/8 are x=(3+sqrt(149))/4 ,x=(3-sqrt(149))/4