What are the solutions to the equation x^2-105x+1260=0 ?

The solutions to the equation x^2-105x+1260=0 are x=(105+3sqrt(665))/2 ,x=(105-3sqrt(665))/2

Find the zeros of x^2-105x+1260=0

The zeros of x^2-105x+1260=0 are x=(105+3sqrt(665))/2 ,x=(105-3sqrt(665))/2

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x^{2} - 105 x + 1260 = 0

x = \frac{105 + 3 665}{2}, x = \frac{105 - 3 665}{2}

Decimal Notation

x = 91.18139 \dots, x = 13.81860 \dots

Solution steps

x^{2} - 105 x + 1260 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 105 ) \pm ( - 105 ) ^{2} - 4 \cdot 1 \cdot 1260}{2 \cdot 1}

(- 105)^{2} - 4 \cdot 1 \cdot 1260 = 3665

x_{1, 2} = \frac{- ( - 105 ) \pm 3 665}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 105 ) + 3 665}{2 \cdot 1}, x_{2} = \frac{- ( - 105 ) - 3 665}{2 \cdot 1}

x = \frac{- ( - 105 ) + 3 665}{2 \cdot 1} : \frac{105 + 3 665}{2}

x = \frac{- ( - 105 ) - 3 665}{2 \cdot 1} : \frac{105 - 3 665}{2}

The solutions to the quadratic equation are:

x = \frac{105 + 3 665}{2}, x = \frac{105 - 3 665}{2}

x^{2} - 20 x = 17

x^{2} + 9 x + \frac{3}{4} = 0

- 10 x^{2} + 1760 x - 50000 = 0

c^{2} - c - 12 = 0

- 4 x^{2} + 3 = 0

What are the solutions to the equation x^2-105x+1260=0 ?
The solutions to the equation x^2-105x+1260=0 are x=(105+3sqrt(665))/2 ,x=(105-3sqrt(665))/2
Find the zeros of x^2-105x+1260=0
The zeros of x^2-105x+1260=0 are x=(105+3sqrt(665))/2 ,x=(105-3sqrt(665))/2