Question

Make x the subject of the formula for Q20.

Answer 1

Answer:

$x = \sqrt{m(\frac{a}{b})^{2} +n }$

Step-by-step explanation:

$a\sqrt{(\frac{x^{2} - n }{m}) } = \frac{a^{2} }{b}$

$\sqrt{\frac{x^{2} - n }{m} } = \frac{a}{b}$   [Divide both sides by $a$]

$\frac{x^{2} - n}{m} = (\frac{a}{b} )^{2}$   [Square both sides]

$x^{2} -n = m(\frac{a}{b} )^{2}$   [Multiply both sides by m]

$x^{2} =m(\frac{a}{b} )^{2} + n$   [Bring n to the right]

$x = \sqrt{m(\frac{a}{b})^{2} +n }$   [Square root both sides]