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

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

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

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

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

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

Solution steps

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

Find Least Common Multiplier of

4, 2 : 4

Multiply by LCM=

4

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

Simplify

3 x^{2} - x = 2

Move

2

to the left side

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

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 3 (- 2) = 5

x_{1, 2} = \frac{- ( - 1 ) \pm 5}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 5}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 5}{2 \cdot 3}

x = \frac{- ( - 1 ) + 5}{2 \cdot 3} : 1

x = \frac{- ( - 1 ) - 5}{2 \cdot 3} : - \frac{2}{3}

The solutions to the quadratic equation are:

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

2 \cdot x + 12 = 40

lo g_{2} (2)

6 a w - 36 ak + 6 b^{2} w - 36 b^{2} k

16 x^{2} - 16 x + 3

(- 11 - 10 i) - (10 - i)

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