What are the solutions to the equation 2x^2-11/2 x-3/2 =0 ?

The solutions to the equation 2x^2-11/2 x-3/2 =0 are x=3,x=-1/4

Find the zeros of 2x^2-11/2 x-3/2 =0

The zeros of 2x^2-11/2 x-3/2 =0 are x=3,x=-1/4

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2 x^{2} - \frac{11}{2} x - \frac{3}{2} = 0

x = 3, x = - \frac{1}{4}

Decimal Notation

x = 3, x = - 0.25

Solution steps

2 x^{2} - \frac{11}{2} x - \frac{3}{2} = 0

Multiply both sides by

2

4 x^{2} - 11 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 ( - 3 )}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 (- 3) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 4}

x = \frac{- ( - 11 ) + 13}{2 \cdot 4} : 3

x = \frac{- ( - 11 ) - 13}{2 \cdot 4} : - \frac{1}{4}

The solutions to the quadratic equation are:

x = 3, x = - \frac{1}{4}

\frac{π}{8} + \frac{π}{8}

4^{{\frac{5}{2}}}

(\frac{1}{6})^{10}

- 4 \cdot 3

n^{2} - 11 n + 10

What are the solutions to the equation 2x^2-11/2 x-3/2 =0 ?
The solutions to the equation 2x^2-11/2 x-3/2 =0 are x=3,x=-1/4
Find the zeros of 2x^2-11/2 x-3/2 =0
The zeros of 2x^2-11/2 x-3/2 =0 are x=3,x=-1/4