What are the solutions to the equation x^2-5/2 x-11/16 =0 ?

The solutions to the equation x^2-5/2 x-11/16 =0 are x= 11/4 ,x=-1/4

Find the zeros of x^2-5/2 x-11/16 =0

The zeros of x^2-5/2 x-11/16 =0 are x= 11/4 ,x=-1/4

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x^{2} - \frac{5}{2} x - \frac{11}{16} = 0

x = \frac{11}{4}, x = - \frac{1}{4}

Decimal Notation

x = 2.75, x = - 0.25

Solution steps

x^{2} - \frac{5}{2} x - \frac{11}{16} = 0

Find Least Common Multiplier of

2, 16 : 16

Multiply by LCM=

16

x^{2} \cdot 16 - \frac{5}{2} x \cdot 16 - \frac{11}{16} \cdot 16 = 0 \cdot 16

Simplify

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 16 ( - 11 )}{2 \cdot 16}

(- 40)^{2} - 4 \cdot 16 (- 11) = 48

x_{1, 2} = \frac{- ( - 40 ) \pm 48}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 40 ) + 48}{2 \cdot 16}, x_{2} = \frac{- ( - 40 ) - 48}{2 \cdot 16}

x = \frac{- ( - 40 ) + 48}{2 \cdot 16} : \frac{11}{4}

x = \frac{- ( - 40 ) - 48}{2 \cdot 16} : - \frac{1}{4}

The solutions to the quadratic equation are:

x = \frac{11}{4}, x = - \frac{1}{4}

- 8 t > 5

11 x^{2} - 11 x + 8 = 4

t^{2} - 5 t

\frac{j}{4} > 2

- 3 - 10147

What are the solutions to the equation x^2-5/2 x-11/16 =0 ?
The solutions to the equation x^2-5/2 x-11/16 =0 are x= 11/4 ,x=-1/4
Find the zeros of x^2-5/2 x-11/16 =0
The zeros of x^2-5/2 x-11/16 =0 are x= 11/4 ,x=-1/4