What are the solutions to the equation 4x^2-11x=-2 ?

The solutions to the equation 4x^2-11x=-2 are x=(11+sqrt(89))/8 ,x=(11-sqrt(89))/8

Find the zeros of 4x^2-11x=-2

The zeros of 4x^2-11x=-2 are x=(11+sqrt(89))/8 ,x=(11-sqrt(89))/8

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4 x^{2} - 11 x = - 2

x = \frac{11 + 89}{8}, x = \frac{11 - 89}{8}

Decimal Notation

x = 2.55424 \dots, x = 0.19575 \dots

Solution steps

4 x^{2} - 11 x = - 2

Move

2

to the left side

4 x^{2} - 11 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 \cdot 2}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 \cdot 2 = 89

x_{1, 2} = \frac{- ( - 11 ) \pm 89}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 89}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 89}{2 \cdot 4}

x = \frac{- ( - 11 ) + 89}{2 \cdot 4} : \frac{11 + 89}{8}

x = \frac{- ( - 11 ) - 89}{2 \cdot 4} : \frac{11 - 89}{8}

The solutions to the quadratic equation are:

x = \frac{11 + 89}{8}, x = \frac{11 - 89}{8}

- 32 = 8 y^{2}

3 (x + 7)^{2} + 17 = 59

- 4.19 x^{2} + 2 = 0

x, x^{2} - 6 x - 34 = 0

2.9 3^{2} = 19.8 2^{2} + (24 x)^{2} + (\frac{10}{π} x)^{2}

What are the solutions to the equation 4x^2-11x=-2 ?
The solutions to the equation 4x^2-11x=-2 are x=(11+sqrt(89))/8 ,x=(11-sqrt(89))/8
Find the zeros of 4x^2-11x=-2
The zeros of 4x^2-11x=-2 are x=(11+sqrt(89))/8 ,x=(11-sqrt(89))/8