What are the solutions to the equation 9q^2-11q+2=-3q^2 ?

The solutions to the equation 9q^2-11q+2=-3q^2 are q= 2/3 ,q= 1/4

Find the zeros of 9q^2-11q+2=-3q^2

The zeros of 9q^2-11q+2=-3q^2 are q= 2/3 ,q= 1/4

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9 q^{2} - 11 q + 2 = - 3 q^{2}

q = \frac{2}{3}, q = \frac{1}{4}

Decimal Notation

q = 0.66666 \dots, q = 0.25

Solution steps

9 q^{2} - 11 q + 2 = - 3 q^{2}

Move

3 q^{2}

to the left side

12 q^{2} - 11 q + 2 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 12 \cdot 2}{2 \cdot 12}

(- 11)^{2} - 4 \cdot 12 \cdot 2 = 5

q_{1, 2} = \frac{- ( - 11 ) \pm 5}{2 \cdot 12}

Separate the solutions

q_{1} = \frac{- ( - 11 ) + 5}{2 \cdot 12}, q_{2} = \frac{- ( - 11 ) - 5}{2 \cdot 12}

q = \frac{- ( - 11 ) + 5}{2 \cdot 12} : \frac{2}{3}

q = \frac{- ( - 11 ) - 5}{2 \cdot 12} : \frac{1}{4}

The solutions to the quadratic equation are:

q = \frac{2}{3}, q = \frac{1}{4}

- x^{2} + 1942 x - 0.0588 = 0

6 - \frac{p ^{2}}{8} = - 4

\frac{d}{- 12} = 144

6125

\frac{x ^{5} - 7 x ^{4} + 33 x ^{2} - 34 x}{17}

What are the solutions to the equation 9q^2-11q+2=-3q^2 ?
The solutions to the equation 9q^2-11q+2=-3q^2 are q= 2/3 ,q= 1/4
Find the zeros of 9q^2-11q+2=-3q^2
The zeros of 9q^2-11q+2=-3q^2 are q= 2/3 ,q= 1/4