What are the solutions to the equation 0.5x^2-3x-0.5=0 ?

The solutions to the equation 0.5x^2-3x-0.5=0 are x=3+sqrt(10),x=3-sqrt(10)

Find the zeros of 0.5x^2-3x-0.5=0

The zeros of 0.5x^2-3x-0.5=0 are x=3+sqrt(10),x=3-sqrt(10)

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0.5 x^{2} - 3 x - 0.5 = 0

x = 3 + 10, x = 3 - 10

Decimal Notation

x = 6.16227 \dots, x = - 0.16227 \dots

Solution steps

0.5 x^{2} - 3 x - 0.5 = 0

Multiply both sides by

10

5 x^{2} - 30 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 5 ( - 5 )}{2 \cdot 5}

(- 30)^{2} - 4 \cdot 5 (- 5) = 1010

x_{1, 2} = \frac{- ( - 30 ) \pm 10 10}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 10}{2 \cdot 5}, x_{2} = \frac{- ( - 30 ) - 10 10}{2 \cdot 5}

x = \frac{- ( - 30 ) + 10 10}{2 \cdot 5} : 3 + 10

x = \frac{- ( - 30 ) - 10 10}{2 \cdot 5} : 3 - 10

The solutions to the quadratic equation are:

x = 3 + 10, x = 3 - 10

a^{2} - 5 a = 0

6 t^{2} - 11 t + 4

\frac{1}{2} x + \frac{2}{3} = - \frac{2}{3}

\frac{1}{2 x} < \frac{2}{x} - 1

- 1 < 3 - 2 x \leq 5

What are the solutions to the equation 0.5x^2-3x-0.5=0 ?
The solutions to the equation 0.5x^2-3x-0.5=0 are x=3+sqrt(10),x=3-sqrt(10)
Find the zeros of 0.5x^2-3x-0.5=0
The zeros of 0.5x^2-3x-0.5=0 are x=3+sqrt(10),x=3-sqrt(10)