What are the solutions to the equation x^2-3x-0.9=0 ?

The solutions to the equation x^2-3x-0.9=0 are x=(3(5+sqrt(35)))/(10),x=(3(5-sqrt(35)))/(10)

Find the zeros of x^2-3x-0.9=0

The zeros of x^2-3x-0.9=0 are x=(3(5+sqrt(35)))/(10),x=(3(5-sqrt(35)))/(10)

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x^{2} - 3 x - 0.9 = 0

x = \frac{3 ( 5 + 35 )}{10}, x = \frac{3 ( 5 - 35 )}{10}

Decimal Notation

x = 3.27482 \dots, x = - 0.27482 \dots

Solution steps

x^{2} - 3 x - 0.9 = 0

Multiply both sides by

10

10 x^{2} - 30 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 10 ( - 9 )}{2 \cdot 10}

(- 30)^{2} - 4 \cdot 10 (- 9) = 635

x_{1, 2} = \frac{- ( - 30 ) \pm 6 35}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 6 35}{2 \cdot 10}, x_{2} = \frac{- ( - 30 ) - 6 35}{2 \cdot 10}

x = \frac{- ( - 30 ) + 6 35}{2 \cdot 10} : \frac{3 ( 5 + 35 )}{10}

x = \frac{- ( - 30 ) - 6 35}{2 \cdot 10} : \frac{3 ( 5 - 35 )}{10}

The solutions to the quadratic equation are:

x = \frac{3 ( 5 + 35 )}{10}, x = \frac{3 ( 5 - 35 )}{10}

4 + 7 x - x^{2} = - \frac{x}{2}

- 6.4 X^{2} + 128 X - 546.67 = 0

2 t^{2} - 7 t = 12

z^{2} - 2 z = 3

3 x^{2} - 6 x - 7 = x^{2} + 3 x - x (x + 1) + 3

What are the solutions to the equation x^2-3x-0.9=0 ?
The solutions to the equation x^2-3x-0.9=0 are x=(3(5+sqrt(35)))/(10),x=(3(5-sqrt(35)))/(10)
Find the zeros of x^2-3x-0.9=0
The zeros of x^2-3x-0.9=0 are x=(3(5+sqrt(35)))/(10),x=(3(5-sqrt(35)))/(10)