Find the value of -a- in the equation given below- -7-2-7-2-a-7-b- then the value of -3a is

We rationalize the denominator, #160;√( 7 ) 2 /√( 7 ) +2 ×√( 7 ) 2 /√( 7 ) 2 = #160; 7+4 4√( 7 ) #160;/ 7 4 = 11 4√( 7 ) #160;/ 3 #1 ...

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Find the valu...

Question

Find the value of 'a' in the equation given below:

$\frac{\sqrt{7} - 2}{\sqrt{7} + 2} = a \sqrt{7} + b$ , then the value of -3a is

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2 x + 3 y = 7

(a - b) x + (a + b) y = 3 a + b - 2

\frac{3 a + 7 b}{3 a - 7 b} = \frac{4}{3}

\frac{3 a^{2} - 7 b^{2}}{3 a^{2} + 7 b^{2}}

a

b

\frac{\sqrt{7} - 2}{\sqrt{7} + 2} = a \sqrt{7} + b

\frac{3 a + 7 b}{3 a - 7 b} = \frac{4}{3}

\frac{3 a^{2} - 7 b^{2}}{3 a^{2} + 7 b^{2}}

a

7 + 2 (a + 1) - 3 a = 5 a

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