What are the solutions to the equation 1.5u^2-u-0.25=0 ?

The solutions to the equation 1.5u^2-u-0.25=0 are u=(2+sqrt(10))/6 ,u=(2-sqrt(10))/6

Find the zeros of 1.5u^2-u-0.25=0

The zeros of 1.5u^2-u-0.25=0 are u=(2+sqrt(10))/6 ,u=(2-sqrt(10))/6

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1.5 u^{2} - u - 0.25 = 0

u = \frac{2 + 10}{6}, u = \frac{2 - 10}{6}

Decimal Notation

u = 0.86037 \dots, u = - 0.19371 \dots

Solution steps

1.5 u^{2} - u - 0.25 = 0

Multiply both sides by

100

150 u^{2} - 100 u - 25 = 0

Solve with the quadratic formula

u_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 150 ( - 25 )}{2 \cdot 150}

(- 100)^{2} - 4 \cdot 150 (- 25) = 5010

u_{1, 2} = \frac{- ( - 100 ) \pm 50 10}{2 \cdot 150}

Separate the solutions

u_{1} = \frac{- ( - 100 ) + 50 10}{2 \cdot 150}, u_{2} = \frac{- ( - 100 ) - 50 10}{2 \cdot 150}

u = \frac{- ( - 100 ) + 50 10}{2 \cdot 150} : \frac{2 + 10}{6}

u = \frac{- ( - 100 ) - 50 10}{2 \cdot 150} : \frac{2 - 10}{6}

The solutions to the quadratic equation are:

u = \frac{2 + 10}{6}, u = \frac{2 - 10}{6}

10 = x^{2}

2 x^{2} - 8 x = 1

x^{2} - 5 x = 14

- 4 x^{2} - 19 = x

5 x^{2} + 2 x = 3

What are the solutions to the equation 1.5u^2-u-0.25=0 ?
The solutions to the equation 1.5u^2-u-0.25=0 are u=(2+sqrt(10))/6 ,u=(2-sqrt(10))/6
Find the zeros of 1.5u^2-u-0.25=0
The zeros of 1.5u^2-u-0.25=0 are u=(2+sqrt(10))/6 ,u=(2-sqrt(10))/6