Question

Show that X = - BC/ad is a solution of the quadratic equation ad^2 (ax/b + 2c/d)X +bc^2 = 0

Answer 1

Answer:

Explanation:

This process is useful

Answer 2

Hence, X = −BC/AD is a solution of the given quadratic equation.

Explanation:

Given that,

$ad^{2} (\frac{ax}{b} + \frac{2c}{d} )x + bc^{2} = 0$   ...(i)

x = −bc/ad is solution of equation (i), if it justifies the equation.

$ad^{2} (\frac{-bc}{bd} + \frac{2c}{d} ) * \frac{-bc}{ad} + bc^{2}$ = 0

$(\frac{-bcd + 2bcd}{bd^{2} }) * -bcd + bc^{2}$ = 0

$\frac{bcd}{bd^{2} }$ × −bcd + $bc^{2}$ = 0

$-bc^{2} + bc^{2}$ = 0

Thus, it is true.

Hence, it is shown that x = -bc/ad is a solution of the given equation  ad^2 (ax/b + 2c/d)X +bc^2 = 0

Learn more: quadratic equation

brainly.in/question/24982053