What is (2(-0.49)+1)/(1/4-(-0.49)^2) ?

The solution to (2(-0.49)+1)/(1/4-(-0.49)^2) is 2.02020…

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simplify (2(-0.49)+1)/(1/4-(-0.49)^2)

simplify

\frac{2 ( - 0.49 ) + 1}{\frac{1}{4} - ( - 0.49 ) ^{2}}

2.02020 \dots

Solution steps

\frac{2 ( - 0.49 ) + 1}{\frac{1}{4} - ( - 0.49 ) ^{2}}

Remove parentheses:

(- a) = - a

= \frac{- 2 \cdot 0.49 + 1}{\frac{1}{4} - ( - 0.49 ) ^{2}}

- 2 \cdot 0.49 + 1 = 0.02

= \frac{0.02}{\frac{1}{4} - ( - 0.49 ) ^{2}}

\frac{1}{4} - (- 0.49)^{2} = \frac{1}{4} - 0.2401

= \frac{0.02}{\frac{1}{4} - 0.2401}

Convert element to a decimal form

\frac{1}{4} = 0.25

= \frac{0.02}{0.25 - 0.2401}

Subtract the numbers:

0.25 - 0.2401 = 0.0099

= \frac{0.02}{0.0099}

Divide the numbers:

\frac{0.02}{0.0099} = 2.02020 \dots

= 2.02020 \dots

\frac{2 x}{3} + 5 = \frac{5 x}{3} + 2

(\frac{1}{2})^{15}

\frac{3}{5} + \frac{4}{5}

2 x + 2 x = 180

(3)^{4}

What is (2(-0.49)+1)/(1/4-(-0.49)^2) ?
The solution to (2(-0.49)+1)/(1/4-(-0.49)^2) is 2.02020…