What are the solutions to the equation x^2-23.5x-1.75=0 ?

The solutions to the equation x^2-23.5x-1.75=0 are x=(47+sqrt(2237))/4 ,x=(47-sqrt(2237))/4

Find the zeros of x^2-23.5x-1.75=0

The zeros of x^2-23.5x-1.75=0 are x=(47+sqrt(2237))/4 ,x=(47-sqrt(2237))/4

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x^{2} - 23.5 x - 1.75 = 0

x = \frac{47 + 2237}{4}, x = \frac{47 - 2237}{4}

Decimal Notation

x = 23.57423 \dots, x = - 0.07423 \dots

Solution steps

x^{2} - 23.5 x - 1.75 = 0

Multiply both sides by

100

100 x^{2} - 2350 x - 175 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2350 ) \pm ( - 2350 ) ^{2} - 4 \cdot 100 ( - 175 )}{2 \cdot 100}

(- 2350)^{2} - 4 \cdot 100 (- 175) = 502237

x_{1, 2} = \frac{- ( - 2350 ) \pm 50 2237}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- ( - 2350 ) + 50 2237}{2 \cdot 100}, x_{2} = \frac{- ( - 2350 ) - 50 2237}{2 \cdot 100}

x = \frac{- ( - 2350 ) + 50 2237}{2 \cdot 100} : \frac{47 + 2237}{4}

x = \frac{- ( - 2350 ) - 50 2237}{2 \cdot 100} : \frac{47 - 2237}{4}

The solutions to the quadratic equation are:

x = \frac{47 + 2237}{4}, x = \frac{47 - 2237}{4}

x^{2} - 9 = 0, (- 3, - 1, 1, 3)

x^{2} + 7 x = - 8

8 x + 3 = 8 x^{2}

x \cdot 0.45 + (- \frac{x ^{2}}{2 ( - 8.5 )}) = 50

x, - 36 (180 y^{4} - 36 y^{2} x + x^{2}) = 0

What are the solutions to the equation x^2-23.5x-1.75=0 ?
The solutions to the equation x^2-23.5x-1.75=0 are x=(47+sqrt(2237))/4 ,x=(47-sqrt(2237))/4
Find the zeros of x^2-23.5x-1.75=0
The zeros of x^2-23.5x-1.75=0 are x=(47+sqrt(2237))/4 ,x=(47-sqrt(2237))/4