What are the solutions to the equation 5.9x^2+3x-2.7=0 ?

The solutions to the equation 5.9x^2+3x-2.7=0 are x=(3(sqrt(202)-5))/(59),x=-(3(5+sqrt(202)))/(59)

Find the zeros of 5.9x^2+3x-2.7=0

The zeros of 5.9x^2+3x-2.7=0 are x=(3(sqrt(202)-5))/(59),x=-(3(5+sqrt(202)))/(59)

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5.9 x^{2} + 3 x - 2.7 = 0

x = \frac{3 ( 202 - 5 )}{59}, x = - \frac{3 ( 5 + 202 )}{59}

Decimal Notation

x = 0.46844 \dots, x = - 0.97691 \dots

Solution steps

5.9 x^{2} + 3 x - 2.7 = 0

Multiply both sides by

10

59 x^{2} + 30 x - 27 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 59 ( - 27 )}{2 \cdot 59}

3 0^{2} - 4 \cdot 59 (- 27) = 6202

x_{1, 2} = \frac{- 30 \pm 6 202}{2 \cdot 59}

Separate the solutions

x_{1} = \frac{- 30 + 6 202}{2 \cdot 59}, x_{2} = \frac{- 30 - 6 202}{2 \cdot 59}

x = \frac{- 30 + 6 202}{2 \cdot 59} : \frac{3 ( 202 - 5 )}{59}

x = \frac{- 30 - 6 202}{2 \cdot 59} : - \frac{3 ( 5 + 202 )}{59}

The solutions to the quadratic equation are:

x = \frac{3 ( 202 - 5 )}{59}, x = - \frac{3 ( 5 + 202 )}{59}

b^{2} - 13 b = - 40

13 x^{2} + 7100 x + 420000 = 0

a^{2} + 4 a + 13 = 0

5 y^{2} + 20 y = 0

(x + 8) (3 x - 9) = 0

What are the solutions to the equation 5.9x^2+3x-2.7=0 ?
The solutions to the equation 5.9x^2+3x-2.7=0 are x=(3(sqrt(202)-5))/(59),x=-(3(5+sqrt(202)))/(59)
Find the zeros of 5.9x^2+3x-2.7=0
The zeros of 5.9x^2+3x-2.7=0 are x=(3(sqrt(202)-5))/(59),x=-(3(5+sqrt(202)))/(59)