What are the solutions to the equation 8x^2=11x-2 ?

The solutions to the equation 8x^2=11x-2 are x=(11+sqrt(57))/(16),x=(11-sqrt(57))/(16)

Find the zeros of 8x^2=11x-2

The zeros of 8x^2=11x-2 are x=(11+sqrt(57))/(16),x=(11-sqrt(57))/(16)

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8 x^{2} = 11 x - 2

x = \frac{11 + 57}{16}, x = \frac{11 - 57}{16}

Decimal Notation

x = 1.15936 \dots, x = 0.21563 \dots

Solution steps

8 x^{2} = 11 x - 2

Move

2

to the left side

8 x^{2} + 2 = 11 x

Move

11 x

to the left side

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

Write in the standard form

a x^{2} + b x + c = 0

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 8 \cdot 2}{2 \cdot 8}

(- 11)^{2} - 4 \cdot 8 \cdot 2 = 57

x_{1, 2} = \frac{- ( - 11 ) \pm 57}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 57}{2 \cdot 8}, x_{2} = \frac{- ( - 11 ) - 57}{2 \cdot 8}

x = \frac{- ( - 11 ) + 57}{2 \cdot 8} : \frac{11 + 57}{16}

x = \frac{- ( - 11 ) - 57}{2 \cdot 8} : \frac{11 - 57}{16}

The solutions to the quadratic equation are:

x = \frac{11 + 57}{16}, x = \frac{11 - 57}{16}

\frac{4 x y}{12 x ^{2} y}

\frac{4 ^{9}}{4 ^{2}}

10 5^{\circ} = 6 0^{\circ} + 4 5^{\circ}

g^{2} + 5 g = 150

d^{2} - 16 d + 63

What are the solutions to the equation 8x^2=11x-2 ?
The solutions to the equation 8x^2=11x-2 are x=(11+sqrt(57))/(16),x=(11-sqrt(57))/(16)
Find the zeros of 8x^2=11x-2
The zeros of 8x^2=11x-2 are x=(11+sqrt(57))/(16),x=(11-sqrt(57))/(16)