What are the solutions to the equation 6x^2-16=5x^2-6x ?

The solutions to the equation 6x^2-16=5x^2-6x are x=2,x=-8

Find the zeros of 6x^2-16=5x^2-6x

The zeros of 6x^2-16=5x^2-6x are x=2,x=-8

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6 x^{2} - 16 = 5 x^{2} - 6 x

x = 2, x = - 8

Solution steps

6 x^{2} - 16 = 5 x^{2} - 6 x

Move

6 x

to the left side

6 x^{2} - 16 + 6 x = 5 x^{2}

Move

5 x^{2}

to the left side

x^{2} + 6 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 16) = 10

x_{1, 2} = \frac{- 6 \pm 10}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 10}{2 \cdot 1}, x_{2} = \frac{- 6 - 10}{2 \cdot 1}

x = \frac{- 6 + 10}{2 \cdot 1} : 2

x = \frac{- 6 - 10}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = 2, x = - 8

ma - mb + na - nb + p a - p b

3 x^{3} - 9 x^{2} - 54 x

4 ∣ 5 - 2 h ∣ - 9 > 11

4 (x - 3) - 6 x = - 2 (x + 6)

\frac{52}{2}

What are the solutions to the equation 6x^2-16=5x^2-6x ?
The solutions to the equation 6x^2-16=5x^2-6x are x=2,x=-8
Find the zeros of 6x^2-16=5x^2-6x
The zeros of 6x^2-16=5x^2-6x are x=2,x=-8