What are the solutions to the equation 13x^2-3x=4x^2+21 ?

The solutions to the equation 13x^2-3x=4x^2+21 are x=(1+sqrt(85))/6 ,x=(1-sqrt(85))/6

Find the zeros of 13x^2-3x=4x^2+21

The zeros of 13x^2-3x=4x^2+21 are x=(1+sqrt(85))/6 ,x=(1-sqrt(85))/6

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13 x^{2} - 3 x = 4 x^{2} + 21

x = \frac{1 + 85}{6}, x = \frac{1 - 85}{6}

Solution steps

13 x^{2} - 3 x = 4 x^{2} + 21

Move

21

to the left side

13 x^{2} - 3 x - 21 = 4 x^{2}

Move

4 x^{2}

to the left side

9 x^{2} - 3 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 9 ( - 21 )}{2 \cdot 9}

(- 3)^{2} - 4 \cdot 9 (- 21) = 385

x_{1, 2} = \frac{- ( - 3 ) \pm 3 85}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 3 85}{2 \cdot 9}, x_{2} = \frac{- ( - 3 ) - 3 85}{2 \cdot 9}

x = \frac{- ( - 3 ) + 3 85}{2 \cdot 9} : \frac{1 + 85}{6}

x = \frac{- ( - 3 ) - 3 85}{2 \cdot 9} : \frac{1 - 85}{6}

The solutions to the quadratic equation are:

x = \frac{1 + 85}{6}, x = \frac{1 - 85}{6}

z, g = k (z - 0.8) (z + 0.7)

0 = (x - 1)^{2} + 2

x^{2} + 24 x + 19 = - 25

0.6 x^{2} - 3.6 x - 0.6 = 0

4 x^{2} - 1 = 3

What are the solutions to the equation 13x^2-3x=4x^2+21 ?
The solutions to the equation 13x^2-3x=4x^2+21 are x=(1+sqrt(85))/6 ,x=(1-sqrt(85))/6
Find the zeros of 13x^2-3x=4x^2+21
The zeros of 13x^2-3x=4x^2+21 are x=(1+sqrt(85))/6 ,x=(1-sqrt(85))/6