ICSE BoardEnglish MediumSTD 9MATHEMATICSLinear Equations4 Marks
Question
Solve the following equations: $a(x - 2a) +b (x - 2b) = 4ab$
✓
Answer
$a(x-2 a)+b(x-2 b)=4 a b$
On simplifying, we get:
$\Rightarrow x a-2 a^2+b x-2 b^2=4 a b$
$\Rightarrow$ On Collecting like terms, we get:
$\Rightarrow x(a+b)=4 a b+2\left(a^2+b^2\right) $
$\Rightarrow x=\frac{2\left(a^2+b^2+2 a b\right)}{a+b} $
$=\frac{2(a+b)^2}{a+b} $
$=2(a+b)$
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