What are the solutions to the equation 4x^2+316=72x ?

The solutions to the equation 4x^2+316=72x are x=9+sqrt(2),x=9-sqrt(2)

Find the zeros of 4x^2+316=72x

The zeros of 4x^2+316=72x are x=9+sqrt(2),x=9-sqrt(2)

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4 x^{2} + 316 = 72 x

x = 9 + 2, x = 9 - 2

Decimal Notation

x = 10.41421 \dots, x = 7.58578 \dots

Solution steps

4 x^{2} + 316 = 72 x

Move

72 x

to the left side

4 x^{2} + 316 - 72 x = 0

Write in the standard form

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

4 x^{2} - 72 x + 316 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 72 ) \pm ( - 72 ) ^{2} - 4 \cdot 4 \cdot 316}{2 \cdot 4}

(- 72)^{2} - 4 \cdot 4 \cdot 316 = 82

x_{1, 2} = \frac{- ( - 72 ) \pm 8 2}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 72 ) + 8 2}{2 \cdot 4}, x_{2} = \frac{- ( - 72 ) - 8 2}{2 \cdot 4}

x = \frac{- ( - 72 ) + 8 2}{2 \cdot 4} : 9 + 2

x = \frac{- ( - 72 ) - 8 2}{2 \cdot 4} : 9 - 2

The solutions to the quadratic equation are:

x = 9 + 2, x = 9 - 2

3 x^{2} + 4 x = 15

5 x^{2} - 4 x + \frac{1}{5} = 0

x, x^{2} - x - 20 = 0

4 x^{2} - 4 x + 6 = 0

x^{2} - \frac{1}{144} = 0

What are the solutions to the equation 4x^2+316=72x ?
The solutions to the equation 4x^2+316=72x are x=9+sqrt(2),x=9-sqrt(2)
Find the zeros of 4x^2+316=72x
The zeros of 4x^2+316=72x are x=9+sqrt(2),x=9-sqrt(2)