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

The solutions to the equation x^2-3x=30 are x=(3+sqrt(129))/2 ,x=(3-sqrt(129))/2

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

The zeros of x^2-3x=30 are x=(3+sqrt(129))/2 ,x=(3-sqrt(129))/2

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x^{2} - 3 x = 30

x = \frac{3 + 129}{2}, x = \frac{3 - 129}{2}

Decimal Notation

x = 7.17890 \dots, x = - 4.17890 \dots

Solution steps

x^{2} - 3 x = 30

Move

30

to the left side

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

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 30) = 129

x_{1, 2} = \frac{- ( - 3 ) \pm 129}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 129}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 129}{2 \cdot 1}

x = \frac{- ( - 3 ) + 129}{2 \cdot 1} : \frac{3 + 129}{2}

x = \frac{- ( - 3 ) - 129}{2 \cdot 1} : \frac{3 - 129}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 129}{2}, x = \frac{3 - 129}{2}

3 x^{2} + 48 x + 183 = 0

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

2 x^{2} + 5 x + 3 = 0

x (2 x - 3) = 0

2 y^{2} + 12 y - 224 = 0

What are the solutions to the equation x^2-3x=30 ?
The solutions to the equation x^2-3x=30 are x=(3+sqrt(129))/2 ,x=(3-sqrt(129))/2
Find the zeros of x^2-3x=30
The zeros of x^2-3x=30 are x=(3+sqrt(129))/2 ,x=(3-sqrt(129))/2