What are the solutions to the equation z^2-0.75z+0.125=0 ?

The solutions to the equation z^2-0.75z+0.125=0 are z= 1/2 ,z= 1/4

Find the zeros of z^2-0.75z+0.125=0

The zeros of z^2-0.75z+0.125=0 are z= 1/2 ,z= 1/4

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z^{2} - 0.75 z + 0.125 = 0

z = \frac{1}{2}, z = \frac{1}{4}

Solution steps

z^{2} - 0.75 z + 0.125 = 0

Multiply both sides by

1000

1000 z^{2} - 750 z + 125 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- ( - 750 ) \pm ( - 750 ) ^{2} - 4 \cdot 1000 \cdot 125}{2 \cdot 1000}

(- 750)^{2} - 4 \cdot 1000 \cdot 125 = 250

z_{1, 2} = \frac{- ( - 750 ) \pm 250}{2 \cdot 1000}

Separate the solutions

z_{1} = \frac{- ( - 750 ) + 250}{2 \cdot 1000}, z_{2} = \frac{- ( - 750 ) - 250}{2 \cdot 1000}

z = \frac{- ( - 750 ) + 250}{2 \cdot 1000} : \frac{1}{2}

z = \frac{- ( - 750 ) - 250}{2 \cdot 1000} : \frac{1}{4}

The solutions to the quadratic equation are:

z = \frac{1}{2}, z = \frac{1}{4}

5 = (x - 3)^{2}

x^{2} = a^{2} + a^{2}

x^{2} + 3^{2} = 8^{2}

x^{2} + 13 x + 15 = 0

x^{2} - 24 = 2 x

What are the solutions to the equation z^2-0.75z+0.125=0 ?
The solutions to the equation z^2-0.75z+0.125=0 are z= 1/2 ,z= 1/4
Find the zeros of z^2-0.75z+0.125=0
The zeros of z^2-0.75z+0.125=0 are z= 1/2 ,z= 1/4