What are the solutions to the equation x^2-1/4 x-15/64 =0 ?

The solutions to the equation x^2-1/4 x-15/64 =0 are x= 5/8 ,x=-3/8

Find the zeros of x^2-1/4 x-15/64 =0

The zeros of x^2-1/4 x-15/64 =0 are x= 5/8 ,x=-3/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - \frac{1}{4} x - \frac{15}{64} = 0

x = \frac{5}{8}, x = - \frac{3}{8}

Decimal Notation

x = 0.625, x = - 0.375

Solution steps

x^{2} - \frac{1}{4} x - \frac{15}{64} = 0

Find Least Common Multiplier of

4, 64 : 64

Multiply by LCM=

64

x^{2} \cdot 64 - \frac{1}{4} x \cdot 64 - \frac{15}{64} \cdot 64 = 0 \cdot 64

Simplify

64 x^{2} - 16 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 64 ( - 15 )}{2 \cdot 64}

(- 16)^{2} - 4 \cdot 64 (- 15) = 64

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

Separate the solutions

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

x = \frac{- ( - 16 ) + 64}{2 \cdot 64} : \frac{5}{8}

x = \frac{- ( - 16 ) - 64}{2 \cdot 64} : - \frac{3}{8}

The solutions to the quadratic equation are:

x = \frac{5}{8}, x = - \frac{3}{8}

2 x^{2} + 10 x + 8 = 0

4 x - x^{2} - 3

k^{- \frac{1}{6}}

\frac{m ^{6} n ^{3}}{m ^{2} n ^{6}}

4 + 4

What are the solutions to the equation x^2-1/4 x-15/64 =0 ?
The solutions to the equation x^2-1/4 x-15/64 =0 are x= 5/8 ,x=-3/8
Find the zeros of x^2-1/4 x-15/64 =0
The zeros of x^2-1/4 x-15/64 =0 are x= 5/8 ,x=-3/8