What are the solutions to the equation 3x^2-18x=357 ?

The solutions to the equation 3x^2-18x=357 are x=3+8sqrt(2),x=3-8sqrt(2)

Find the zeros of 3x^2-18x=357

The zeros of 3x^2-18x=357 are x=3+8sqrt(2),x=3-8sqrt(2)

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3 x^{2} - 18 x = 357

x = 3 + 82, x = 3 - 82

Decimal Notation

x = 14.31370 \dots, x = - 8.31370 \dots

Solution steps

3 x^{2} - 18 x = 357

Move

357

to the left side

3 x^{2} - 18 x - 357 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 3 ( - 357 )}{2 \cdot 3}

(- 18)^{2} - 4 \cdot 3 (- 357) = 482

x_{1, 2} = \frac{- ( - 18 ) \pm 48 2}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 48 2}{2 \cdot 3}, x_{2} = \frac{- ( - 18 ) - 48 2}{2 \cdot 3}

x = \frac{- ( - 18 ) + 48 2}{2 \cdot 3} : 3 + 82

x = \frac{- ( - 18 ) - 48 2}{2 \cdot 3} : 3 - 82

The solutions to the quadratic equation are:

x = 3 + 82, x = 3 - 82

x, z = 4 x^{2} + y^{2}

3 x^{2} + x + 1 = - 5 x

(t + 2)^{2} + (t - 3)^{2} = 9

15 x^{2} + 21 x = 0

(x + 1) (x - 5) = 0

What are the solutions to the equation 3x^2-18x=357 ?
The solutions to the equation 3x^2-18x=357 are x=3+8sqrt(2),x=3-8sqrt(2)
Find the zeros of 3x^2-18x=357
The zeros of 3x^2-18x=357 are x=3+8sqrt(2),x=3-8sqrt(2)