What are the solutions to the equation x^2-x=-1/4 ?

The solutions to the equation x^2-x=-1/4 are x= 1/2

Find the zeros of x^2-x=-1/4

The zeros of x^2-x=-1/4 are x= 1/2

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x^{2} - x = - \frac{1}{4}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

x^{2} - x = - \frac{1}{4}

Multiply both sides by

4

4 x^{2} - 4 x = - 1

Move

1

to the left side

4 x^{2} - 4 x + 1 = 0

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 4 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 4 ) \pm 0}{2 \cdot 4}

x = \frac{- ( - 4 )}{2 \cdot 4}

\frac{- ( - 4 )}{2 \cdot 4} = \frac{1}{2}

x = \frac{1}{2}

The solution to the quadratic equation is:

x = \frac{1}{2}

x^{2} - 9 x + 19 = x - 5 x - 5

r^{2} = 4 r

x^{2} - 6 x = - 25

x^{2} = - 7 x + 6

x^{2} - 40 = - 16

What are the solutions to the equation x^2-x=-1/4 ?
The solutions to the equation x^2-x=-1/4 are x= 1/2
Find the zeros of x^2-x=-1/4
The zeros of x^2-x=-1/4 are x= 1/2