What are the solutions to the equation x^2-0.5x-5=0 ?

The solutions to the equation x^2-0.5x-5=0 are x= 5/2 ,x=-2

Find the zeros of x^2-0.5x-5=0

The zeros of x^2-0.5x-5=0 are x= 5/2 ,x=-2

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x^{2} - 0.5 x - 5 = 0

x = \frac{5}{2}, x = - 2

Solution steps

x^{2} - 0.5 x - 5 = 0

Multiply both sides by

10

10 x^{2} - 5 x - 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 10 ( - 50 )}{2 \cdot 10}

(- 5)^{2} - 4 \cdot 10 (- 50) = 45

x_{1, 2} = \frac{- ( - 5 ) \pm 45}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 45}{2 \cdot 10}, x_{2} = \frac{- ( - 5 ) - 45}{2 \cdot 10}

x = \frac{- ( - 5 ) + 45}{2 \cdot 10} : \frac{5}{2}

x = \frac{- ( - 5 ) - 45}{2 \cdot 10} : - 2

The solutions to the quadratic equation are:

x = \frac{5}{2}, x = - 2

x^{2} + \frac{4}{5} x - 8

25 x^{2} - 5625 = 0

(m - 2)^{2} = 5 - 2 (2 m + 7) + 6^{2} + 2

x^{2} + 7 x - 170 = 0

\frac{2}{3} (x + 8)^{2} - 66 = 0

What are the solutions to the equation x^2-0.5x-5=0 ?
The solutions to the equation x^2-0.5x-5=0 are x= 5/2 ,x=-2
Find the zeros of x^2-0.5x-5=0
The zeros of x^2-0.5x-5=0 are x= 5/2 ,x=-2