What are the solutions to the equation x^2-5/2 x-39/16 =0 ?

The solutions to the equation x^2-5/2 x-39/16 =0 are x= 13/4 ,x=-3/4

Find the zeros of x^2-5/2 x-39/16 =0

The zeros of x^2-5/2 x-39/16 =0 are x= 13/4 ,x=-3/4

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x^{2} - \frac{5}{2} x - \frac{39}{16} = 0

x = \frac{13}{4}, x = - \frac{3}{4}

Decimal Notation

x = 3.25, x = - 0.75

Solution steps

x^{2} - \frac{5}{2} x - \frac{39}{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{39}{16} \cdot 16 = 0 \cdot 16

Simplify

16 x^{2} - 40 x - 39 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 40 ) \pm ( - 40 ) ^{2} - 4 \cdot 16 ( - 39 )}{2 \cdot 16}

(- 40)^{2} - 4 \cdot 16 (- 39) = 64

x_{1, 2} = \frac{- ( - 40 ) \pm 64}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 40 ) + 64}{2 \cdot 16}, x_{2} = \frac{- ( - 40 ) - 64}{2 \cdot 16}

x = \frac{- ( - 40 ) + 64}{2 \cdot 16} : \frac{13}{4}

x = \frac{- ( - 40 ) - 64}{2 \cdot 16} : - \frac{3}{4}

The solutions to the quadratic equation are:

x = \frac{13}{4}, x = - \frac{3}{4}

x, x^{2} + z^{2} + 4 - y^{2} = 4

2 x^{2} + 5 x = 8

2 x^{2} - 11 x + 14 = 0

3504.572919 = - 0.1037 \cdot x^{2} + 24.301 \cdot x + 284.51

c^{2} = 6 0^{2} - 3 6^{2}

What are the solutions to the equation x^2-5/2 x-39/16 =0 ?
The solutions to the equation x^2-5/2 x-39/16 =0 are x= 13/4 ,x=-3/4
Find the zeros of x^2-5/2 x-39/16 =0
The zeros of x^2-5/2 x-39/16 =0 are x= 13/4 ,x=-3/4