What are the solutions to the equation 3x^2-30x=69 ?

The solutions to the equation 3x^2-30x=69 are x=5+4sqrt(3),x=5-4sqrt(3)

Find the zeros of 3x^2-30x=69

The zeros of 3x^2-30x=69 are x=5+4sqrt(3),x=5-4sqrt(3)

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3 x^{2} - 30 x = 69

x = 5 + 43, x = 5 - 43

Decimal Notation

x = 11.92820 \dots, x = - 1.92820 \dots

Solution steps

3 x^{2} - 30 x = 69

Move

69

to the left side

3 x^{2} - 30 x - 69 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 3 ( - 69 )}{2 \cdot 3}

(- 30)^{2} - 4 \cdot 3 (- 69) = 243

x_{1, 2} = \frac{- ( - 30 ) \pm 24 3}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 24 3}{2 \cdot 3}, x_{2} = \frac{- ( - 30 ) - 24 3}{2 \cdot 3}

x = \frac{- ( - 30 ) + 24 3}{2 \cdot 3} : 5 + 43

x = \frac{- ( - 30 ) - 24 3}{2 \cdot 3} : 5 - 43

The solutions to the quadratic equation are:

x = 5 + 43, x = 5 - 43

\frac{\frac{2}{5} + \frac{1}{2}}{\frac{1}{10} + \frac{2}{10}}

(3 + i) (3 - i)

b = - 1 - 7 (6)

4 x^{2} + 6 x + 2

2 x (x - 3) = 6 x^{2} - 9 x

What are the solutions to the equation 3x^2-30x=69 ?
The solutions to the equation 3x^2-30x=69 are x=5+4sqrt(3),x=5-4sqrt(3)
Find the zeros of 3x^2-30x=69
The zeros of 3x^2-30x=69 are x=5+4sqrt(3),x=5-4sqrt(3)