What are the solutions to the equation x^2-0.25x-0.75=0 ?

The solutions to the equation x^2-0.25x-0.75=0 are x=1,x=-3/4

Find the zeros of x^2-0.25x-0.75=0

The zeros of x^2-0.25x-0.75=0 are x=1,x=-3/4

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x^{2} - 0.25 x - 0.75 = 0

x = 1, x = - \frac{3}{4}

Decimal Notation

x = 1, x = - 0.75

Solution steps

x^{2} - 0.25 x - 0.75 = 0

Multiply both sides by

100

100 x^{2} - 25 x - 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 100 ( - 75 )}{2 \cdot 100}

(- 25)^{2} - 4 \cdot 100 (- 75) = 175

x_{1, 2} = \frac{- ( - 25 ) \pm 175}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 175}{2 \cdot 100}, x_{2} = \frac{- ( - 25 ) - 175}{2 \cdot 100}

x = \frac{- ( - 25 ) + 175}{2 \cdot 100} : 1

x = \frac{- ( - 25 ) - 175}{2 \cdot 100} : - \frac{3}{4}

The solutions to the quadratic equation are:

x = 1, x = - \frac{3}{4}

14 x + x^{2} = 24

x^{2} - 3 (x - 3)^{2} = 2

x^{2} - 8

4 x^{2} + 1

x^{2} + 8 x = 9

What are the solutions to the equation x^2-0.25x-0.75=0 ?
The solutions to the equation x^2-0.25x-0.75=0 are x=1,x=-3/4
Find the zeros of x^2-0.25x-0.75=0
The zeros of x^2-0.25x-0.75=0 are x=1,x=-3/4