What are the solutions to the equation x^2-x+1/4 =25 ?

The solutions to the equation x^2-x+1/4 =25 are x= 11/2 ,x=-9/2

Find the zeros of x^2-x+1/4 =25

The zeros of x^2-x+1/4 =25 are x= 11/2 ,x=-9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - x + \frac{1}{4} = 25

x = \frac{11}{2}, x = - \frac{9}{2}

Decimal Notation

x = 5.5, x = - 4.5

Solution steps

x^{2} - x + \frac{1}{4} = 25

Multiply both sides by

4

4 x^{2} - 4 x + 1 = 100

Move

100

to the left side

4 x^{2} - 4 x - 99 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 99 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 99) = 40

x_{1, 2} = \frac{- ( - 4 ) \pm 40}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 40}{2 \cdot 4}, x_{2} = \frac{- ( - 4 ) - 40}{2 \cdot 4}

x = \frac{- ( - 4 ) + 40}{2 \cdot 4} : \frac{11}{2}

x = \frac{- ( - 4 ) - 40}{2 \cdot 4} : - \frac{9}{2}

The solutions to the quadratic equation are:

x = \frac{11}{2}, x = - \frac{9}{2}

9 r^{2} - 25 = 0

2 (2 x - 5) - x^{2} + 17 x = 16 \cdot 4

5 x (x + 1) = 15

- 3 (x - 2) - 4 x^{2} = 0

x^{2} - 8 x - 8 = 0

What are the solutions to the equation x^2-x+1/4 =25 ?
The solutions to the equation x^2-x+1/4 =25 are x= 11/2 ,x=-9/2
Find the zeros of x^2-x+1/4 =25
The zeros of x^2-x+1/4 =25 are x= 11/2 ,x=-9/2