What are the solutions to the equation 0=0.5x^2-10x+100 ?

The solutions to the equation 0=0.5x^2-10x+100 are x=10+10i,x=10-10i

Find the zeros of 0=0.5x^2-10x+100

The zeros of 0=0.5x^2-10x+100 are x=10+10i,x=10-10i

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0 = 0.5 x^{2} - 10 x + 100

x = 10 + 10 i, x = 10 - 10 i

Solution steps

0 = 0.5 x^{2} - 10 x + 100

Multiply both sides by

10

0 = 5 x^{2} - 100 x + 1000

Switch sides

5 x^{2} - 100 x + 1000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 100 ) \pm ( - 100 ) ^{2} - 4 \cdot 5 \cdot 1000}{2 \cdot 5}

Simplify

(- 100)^{2} - 4 \cdot 5 \cdot 1000 : 100 i

x_{1, 2} = \frac{- ( - 100 ) \pm 100 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 100 ) + 100 i}{2 \cdot 5}, x_{2} = \frac{- ( - 100 ) - 100 i}{2 \cdot 5}

x = \frac{- ( - 100 ) + 100 i}{2 \cdot 5} : 10 + 10 i

x = \frac{- ( - 100 ) - 100 i}{2 \cdot 5} : 10 - 10 i

The solutions to the quadratic equation are:

x = 10 + 10 i, x = 10 - 10 i

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

x^{2} + 9 x + 90 = 0

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

2 a^{2} + 17 a + 30 = 0

14 = x^{2} + 10 x

What are the solutions to the equation 0=0.5x^2-10x+100 ?
The solutions to the equation 0=0.5x^2-10x+100 are x=10+10i,x=10-10i
Find the zeros of 0=0.5x^2-10x+100
The zeros of 0=0.5x^2-10x+100 are x=10+10i,x=10-10i