What are the solutions to the equation 2/3 x^2-1/2 x-3/4 =0 ?

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

Find the zeros of 2/3 x^2-1/2 x-3/4 =0

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

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\frac{2}{3} x^{2} - \frac{1}{2} x - \frac{3}{4} = 0

x = \frac{3}{2}, x = - \frac{3}{4}

Decimal Notation

x = 1.5, x = - 0.75

Solution steps

\frac{2}{3} x^{2} - \frac{1}{2} x - \frac{3}{4} = 0

Find Least Common Multiplier of

3, 2, 4 : 12

Multiply by LCM=

12

\frac{2}{3} x^{2} \cdot 12 - \frac{1}{2} x \cdot 12 - \frac{3}{4} \cdot 12 = 0 \cdot 12

Simplify

8 x^{2} - 6 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 8 ( - 9 )}{2 \cdot 8}

(- 6)^{2} - 4 \cdot 8 (- 9) = 18

x_{1, 2} = \frac{- ( - 6 ) \pm 18}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 18}{2 \cdot 8}, x_{2} = \frac{- ( - 6 ) - 18}{2 \cdot 8}

x = \frac{- ( - 6 ) + 18}{2 \cdot 8} : \frac{3}{2}

x = \frac{- ( - 6 ) - 18}{2 \cdot 8} : - \frac{3}{4}

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - \frac{3}{4}

(\frac{5}{13})^{2}

\frac{( 5 + 6 i )}{( 6 - 5 i )}

4 u + 2 \geq 10

14 (3)

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