What are the solutions to the equation x^2-4x-60=9 ?

The solutions to the equation x^2-4x-60=9 are x=2+sqrt(73),x=2-sqrt(73)

Find the zeros of x^2-4x-60=9

The zeros of x^2-4x-60=9 are x=2+sqrt(73),x=2-sqrt(73)

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x^{2} - 4 x - 60 = 9

x = 2 + 73, x = 2 - 73

Decimal Notation

x = 10.54400 \dots, x = - 6.54400 \dots

Solution steps

x^{2} - 4 x - 60 = 9

Move

9

to the left side

x^{2} - 4 x - 69 = 0

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 1 \cdot (- 69) = 273

x_{1, 2} = \frac{- ( - 4 ) \pm 2 73}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 2 73}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 2 73}{2 \cdot 1}

x = \frac{- ( - 4 ) + 2 73}{2 \cdot 1} : 2 + 73

x = \frac{- ( - 4 ) - 2 73}{2 \cdot 1} : 2 - 73

The solutions to the quadratic equation are:

x = 2 + 73, x = 2 - 73

k^{3} - r^{3} = (k^{2} + r) (k - r^{2})

4 x^{2} - 4 x = 5

3 t^{2} - 28 t + 49 = 0

x^{2} + (\frac{5 - 2 x}{3})^{2} = 2

3 x^{2} - 24 x + 12 = 0

What are the solutions to the equation x^2-4x-60=9 ?
The solutions to the equation x^2-4x-60=9 are x=2+sqrt(73),x=2-sqrt(73)
Find the zeros of x^2-4x-60=9
The zeros of x^2-4x-60=9 are x=2+sqrt(73),x=2-sqrt(73)