What are the solutions to the equation 6x^2-534=36x ?

The solutions to the equation 6x^2-534=36x are x=3+7sqrt(2),x=3-7sqrt(2)

Find the zeros of 6x^2-534=36x

The zeros of 6x^2-534=36x are x=3+7sqrt(2),x=3-7sqrt(2)

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6 x^{2} - 534 = 36 x

x = 3 + 72, x = 3 - 72

Decimal Notation

x = 12.89949 \dots, x = - 6.89949 \dots

Solution steps

6 x^{2} - 534 = 36 x

Move

36 x

to the left side

6 x^{2} - 534 - 36 x = 0

Write in the standard form

a x^{2} + b x + c = 0

6 x^{2} - 36 x - 534 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 6 ( - 534 )}{2 \cdot 6}

(- 36)^{2} - 4 \cdot 6 (- 534) = 842

x_{1, 2} = \frac{- ( - 36 ) \pm 84 2}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 84 2}{2 \cdot 6}, x_{2} = \frac{- ( - 36 ) - 84 2}{2 \cdot 6}

x = \frac{- ( - 36 ) + 84 2}{2 \cdot 6} : 3 + 72

x = \frac{- ( - 36 ) - 84 2}{2 \cdot 6} : 3 - 72

The solutions to the quadratic equation are:

x = 3 + 72, x = 3 - 72

m^{2} + 12 m + 32 = 0

9 x^{2} - 12 x + 2 = - 2

x^{2} - 8 x - 13 = 6

x^{2} - 24 x - 25 = 0

x^{2} 3 = 543

What are the solutions to the equation 6x^2-534=36x ?
The solutions to the equation 6x^2-534=36x are x=3+7sqrt(2),x=3-7sqrt(2)
Find the zeros of 6x^2-534=36x
The zeros of 6x^2-534=36x are x=3+7sqrt(2),x=3-7sqrt(2)