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Solving a Quadratic Equation by Completion of Squares Method

Question 91 S...

Question

Question 91

Solve the following.
$(i) 100^{- 10} (i i) 2^{- 2} \times 2^{- 3} (i i i) {(\frac{1}{2})}^{- 2} \div {(\frac{1}{2})}^{- 3}$

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Solution

(i) $100^{- 10} = {(\frac{1}{100})}^{10}$
(ii) $2^{- 2} \times 2^{- 3}$
$= 2^{- 2 - 3} = 2^{- 5}$
$= {(\frac{1}{2})}^{5} = \frac{1}{32}$
(iii) ${(\frac{1}{2})}^{- 2} \div {(\frac{1}{2})}^{- 3}$
$= {(\frac{1}{2})}^{- 2 + 3} = {(\frac{1}{2})}^{1} = \frac{1}{2}$

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Question 91

Solve the following.
$(i) 100^{- 10} (i i) 2^{- 2} \times 2^{- 3} (i i i) {(\frac{1}{2})}^{- 2} \div {(\frac{1}{2})}^{- 3}$

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Q. Question 91 (i)

Factorise the following:

x^{2} + 15 x + 26

\frac{9^{\frac{1}{3}} \times 27^{\frac{- 1}{2}}}{3^{\frac{1}{6}} \times 3^{\frac{- 2}{3}}}

\frac{3 \times 9^{\frac{1}{3}} \times 27^{- \frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{- \frac{2}{3}}}

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Solving a Quadratic Equation by Completion of Squares Method

Standard X Mathematics

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