What are the solutions to the equation x^2-4/3 x= 1/4 ?

The solutions to the equation x^2-4/3 x= 1/4 are x= 3/2 ,x=-1/6

Find the zeros of x^2-4/3 x= 1/4

The zeros of x^2-4/3 x= 1/4 are x= 3/2 ,x=-1/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - \frac{4}{3} x = \frac{1}{4}

x = \frac{3}{2}, x = - \frac{1}{6}

Decimal Notation

x = 1.5, x = - 0.16666 \dots

Solution steps

x^{2} - \frac{4}{3} x = \frac{1}{4}

Find Least Common Multiplier of

3, 4 : 12

Multiply by LCM=

12

x^{2} \cdot 12 - \frac{4}{3} x \cdot 12 = \frac{1}{4} \cdot 12

Simplify

12 x^{2} - 16 x = 3

Move

3

to the left side

12 x^{2} - 16 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 12 ( - 3 )}{2 \cdot 12}

(- 16)^{2} - 4 \cdot 12 (- 3) = 20

x_{1, 2} = \frac{- ( - 16 ) \pm 20}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 20}{2 \cdot 12}, x_{2} = \frac{- ( - 16 ) - 20}{2 \cdot 12}

x = \frac{- ( - 16 ) + 20}{2 \cdot 12} : \frac{3}{2}

x = \frac{- ( - 16 ) - 20}{2 \cdot 12} : - \frac{1}{6}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{1}{6}

10 x^{2} - x + 9 = 0

- x^{2} - 11 x - 18 = 0

4.9 x^{2} - 5 x - 10 = 0

z^{2} + 26 z + 37 = 0

s^{2} + 2 s + 100 = 0

What are the solutions to the equation x^2-4/3 x= 1/4 ?
The solutions to the equation x^2-4/3 x= 1/4 are x= 3/2 ,x=-1/6
Find the zeros of x^2-4/3 x= 1/4
The zeros of x^2-4/3 x= 1/4 are x= 3/2 ,x=-1/6