What are the solutions to the equation x^2-30x+100=0 ?

The solutions to the equation x^2-30x+100=0 are x=5(3+sqrt(5)),x=5(3-sqrt(5))

Find the zeros of x^2-30x+100=0

The zeros of x^2-30x+100=0 are x=5(3+sqrt(5)),x=5(3-sqrt(5))

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x^{2} - 30 x + 100 = 0

x = 5 (3 + 5), x = 5 (3 - 5)

Decimal Notation

x = 26.18033 \dots, x = 3.81966 \dots

Solution steps

x^{2} - 30 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

(- 30)^{2} - 4 \cdot 1 \cdot 100 = 105

x_{1, 2} = \frac{- ( - 30 ) \pm 10 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 10 5}{2 \cdot 1}, x_{2} = \frac{- ( - 30 ) - 10 5}{2 \cdot 1}

x = \frac{- ( - 30 ) + 10 5}{2 \cdot 1} : 5 (3 + 5)

x = \frac{- ( - 30 ) - 10 5}{2 \cdot 1} : 5 (3 - 5)

The solutions to the quadratic equation are:

x = 5 (3 + 5), x = 5 (3 - 5)

x^{2} + 11 x = 16 x - 6

15 x^{2} - 46 x + 16 = 0

2250 = 30 x - 0.1 x^{2}

x^{2} - 4 x + 1 = 3

- 5 x^{2} - 3 x + 4 = 0

What are the solutions to the equation x^2-30x+100=0 ?
The solutions to the equation x^2-30x+100=0 are x=5(3+sqrt(5)),x=5(3-sqrt(5))
Find the zeros of x^2-30x+100=0
The zeros of x^2-30x+100=0 are x=5(3+sqrt(5)),x=5(3-sqrt(5))