What are the solutions to the equation (x^2)/(16)-x/8 =1 ?

The solutions to the equation (x^2)/(16)-x/8 =1 are x=1+sqrt(17),x=1-sqrt(17)

Find the zeros of (x^2)/(16)-x/8 =1

The zeros of (x^2)/(16)-x/8 =1 are x=1+sqrt(17),x=1-sqrt(17)

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\frac{x ^{2}}{16} - \frac{x}{8} = 1

x = 1 + 17, x = 1 - 17

Decimal Notation

x = 5.12310 \dots, x = - 3.12310 \dots

Solution steps

\frac{x ^{2}}{16} - \frac{x}{8} = 1

Find Least Common Multiplier of

16, 8 : 16

Multiply by LCM=

16

\frac{x ^{2}}{16} \cdot 16 - \frac{x}{8} \cdot 16 = 1 \cdot 16

Simplify

x^{2} - 2 x = 16

Move

16

to the left side

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot (- 16) = 217

x_{1, 2} = \frac{- ( - 2 ) \pm 2 17}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 17}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 2 17}{2 \cdot 1}

x = \frac{- ( - 2 ) + 2 17}{2 \cdot 1} : 1 + 17

x = \frac{- ( - 2 ) - 2 17}{2 \cdot 1} : 1 - 17

The solutions to the quadratic equation are:

x = 1 + 17, x = 1 - 17

4 x^{2} + 13 x - 35 = 0

x^{2} + 11 x - 2

x, x^{2} + 4 x - 3 = 0

(2 x + 5) (x - 1) = - 6

u^{2} = - 25

What are the solutions to the equation (x^2)/(16)-x/8 =1 ?
The solutions to the equation (x^2)/(16)-x/8 =1 are x=1+sqrt(17),x=1-sqrt(17)
Find the zeros of (x^2)/(16)-x/8 =1
The zeros of (x^2)/(16)-x/8 =1 are x=1+sqrt(17),x=1-sqrt(17)