What are the solutions to the equation -2x^2+11/20 x+1/10 =0 ?

The solutions to the equation -2x^2+11/20 x+1/10 =0 are x=-1/8 ,x= 2/5

Find the zeros of -2x^2+11/20 x+1/10 =0

The zeros of -2x^2+11/20 x+1/10 =0 are x=-1/8 ,x= 2/5

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- 2 x^{2} + \frac{11}{20} x + \frac{1}{10} = 0

x = - \frac{1}{8}, x = \frac{2}{5}

Decimal Notation

x = - 0.125, x = 0.4

Solution steps

- 2 x^{2} + \frac{11}{20} x + \frac{1}{10} = 0

Find Least Common Multiplier of

20, 10 : 20

Multiply by LCM=

20

- 2 x^{2} \cdot 20 + \frac{11}{20} x \cdot 20 + \frac{1}{10} \cdot 20 = 0 \cdot 20

Simplify

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 ( - 40 ) \cdot 2}{2 ( - 40 )}

1 1^{2} - 4 (- 40) \cdot 2 = 21

x_{1, 2} = \frac{- 11 \pm 21}{2 ( - 40 )}

Separate the solutions

x_{1} = \frac{- 11 + 21}{2 ( - 40 )}, x_{2} = \frac{- 11 - 21}{2 ( - 40 )}

x = \frac{- 11 + 21}{2 ( - 40 )} : - \frac{1}{8}

x = \frac{- 11 - 21}{2 ( - 40 )} : \frac{2}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{8}, x = \frac{2}{5}

4 x^{2} - 20 x - 96

3 x^{3} - 33 x^{2} + 30 x

∣ x + 7 ∣ = - 6

\frac{5}{14 m ^{5} + 28 m ^{4} - 42 m ^{3}} - \frac{2}{7 m ^{3} - 7 m ^{2}}

3 x - 91 > - 87 or 21 x - 17 > 25

What are the solutions to the equation -2x^2+11/20 x+1/10 =0 ?
The solutions to the equation -2x^2+11/20 x+1/10 =0 are x=-1/8 ,x= 2/5
Find the zeros of -2x^2+11/20 x+1/10 =0
The zeros of -2x^2+11/20 x+1/10 =0 are x=-1/8 ,x= 2/5