What are the solutions to the equation 5/16 x^2-x-1=0 ?

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

Find the zeros of 5/16 x^2-x-1=0

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

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\frac{5}{16} x^{2} - x - 1 = 0

x = 4, x = - \frac{4}{5}

Decimal Notation

x = 4, x = - 0.8

Solution steps

\frac{5}{16} x^{2} - x - 1 = 0

Multiply both sides by

16

5 x^{2} - 16 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 5 ( - 16 )}{2 \cdot 5}

(- 16)^{2} - 4 \cdot 5 (- 16) = 24

x_{1, 2} = \frac{- ( - 16 ) \pm 24}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 24}{2 \cdot 5}, x_{2} = \frac{- ( - 16 ) - 24}{2 \cdot 5}

x = \frac{- ( - 16 ) + 24}{2 \cdot 5} : 4

x = \frac{- ( - 16 ) - 24}{2 \cdot 5} : - \frac{4}{5}

The solutions to the quadratic equation are:

x = 4, x = - \frac{4}{5}

6 a^{2} - 9 a + 15 = 0

x^{2} + 2 x = 9 x - 6

2 x^{2} + 4 x - 96 = 0

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

x^{2} - 8 = 41

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