What are the solutions to the equation x^2-0.6x+0.16=0 ?

The solutions to the equation x^2-0.6x+0.16=0 are x= 3/10+i(sqrt(7))/(10),x= 3/10-i(sqrt(7))/(10)

Find the zeros of x^2-0.6x+0.16=0

The zeros of x^2-0.6x+0.16=0 are x= 3/10+i(sqrt(7))/(10),x= 3/10-i(sqrt(7))/(10)

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x^{2} - 0.6 x + 0.16 = 0

x = \frac{3}{10} + i \frac{7}{10}, x = \frac{3}{10} - i \frac{7}{10}

Solution steps

x^{2} - 0.6 x + 0.16 = 0

Multiply both sides by

100

100 x^{2} - 60 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 100 \cdot 16}{2 \cdot 100}

Simplify

(- 60)^{2} - 4 \cdot 100 \cdot 16 : 207 i

x_{1, 2} = \frac{- ( - 60 ) \pm 20 7 i}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 20 7 i}{2 \cdot 100}, x_{2} = \frac{- ( - 60 ) - 20 7 i}{2 \cdot 100}

x = \frac{- ( - 60 ) + 20 7 i}{2 \cdot 100} : \frac{3}{10} + i \frac{7}{10}

x = \frac{- ( - 60 ) - 20 7 i}{2 \cdot 100} : \frac{3}{10} - i \frac{7}{10}

The solutions to the quadratic equation are:

x = \frac{3}{10} + i \frac{7}{10}, x = \frac{3}{10} - i \frac{7}{10}

4 x^{2} - 8 x = - 11

2 x^{2} + 13 x + 3 = 0

x^{2} - 3 = - 2

18 x^{2} - 12 x + 2 = 0

225 x^{2} = 9

What are the solutions to the equation x^2-0.6x+0.16=0 ?
The solutions to the equation x^2-0.6x+0.16=0 are x= 3/10+i(sqrt(7))/(10),x= 3/10-i(sqrt(7))/(10)
Find the zeros of x^2-0.6x+0.16=0
The zeros of x^2-0.6x+0.16=0 are x= 3/10+i(sqrt(7))/(10),x= 3/10-i(sqrt(7))/(10)