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

ad^2 ( ax b + 2c d )x+bc^2=0By multiplying ad^2x by ax b we get ad^2x ( ax b ) = a^2d^2x^2 b By multiplying ad^2x by 2c d we get ad^2x ( 2c d ) = 2cad^2x d By following the equation a^2d^2x^2 b + 2cad^2x d +bc^2=0 a^2d^2x^2 b +2cad^ 2-1 x+bc^2=0 a^2d^2x^2 b +2cadx+bc^2=0 a^2d^2x + 2abcdx + b^2c^2 = 0 (by multiplying the denominator 'b' to 2cadx & bc^2 ) (adx + bc) = 0 (Squaring) adx + bc = 0 adx = -bc = -bc ad

Show that x=- bc ad is a solution of the quadratic equation ad^2 …

Download App

Question

Show that $\text{x}=-\frac{\text{bc}}{\text{ad}}$ is a solution of the quadratic equation $\text{ad}^2\Big(\frac{\text{ax}}{\text{b}}+\frac{\text{2c}}{\text{d}}\Big)\text{x}+\text{bc}^2=0$

✓

Answer

$\text{ad}^2\Big(\frac{\text{ax}}{\text{b}}+\frac{\text{2c}}{\text{d}}\Big)\text{x}+\text{bc}^2=0$By multiplying $ad^2x$ by $\frac{\text{ax}}{\text{b}}$ we get
$\text{ad}^2\text{x}\Big(\frac{\text{ax}}{\text{b}}\Big)$
$=\frac{\text{a}^2\text{d}^2\text{x}^2}{ \text{b}}$
By multiplying $ad^2x$ by $\frac{\text{2c}}{\text{d}}$ we get
$\text{ad}^2\text{x}\Big(\frac{\text{2c}}{\text{d}}\Big)$
$=\frac{\text{2ca}\text{d}^2\text{x}}{\text{d}}$
By following the equation
$\frac{\text{a}^2\text{d}^2\text{x}^2}{\text{b}}+\frac{\text{2ca}\text{d}^2\text{x}}{\text{d}}+\text{bc}^2=0$
$\frac{\text{a}^2\text{d}^2\text{x}^2}{\text{b}}+\text{2cad}^{2-1}\text{x}+\text{bc}^2=0$
$\frac{\text{a}^2\text{d}^2\text{x}^2}{\text{b}}+\text{2cad}\text{x}+\text{bc}^2=0$
$a^2d^2x + 2abcdx + b^2c^2 = 0$ (by multiplying the denominator 'b' to 2cadx & $bc^2$)
$\Rightarrow (adx + bc) = 0$ (Squaring)
$\Rightarrow adx + bc = 0$
$\Rightarrow adx = -bc$
$\Rightarrow\text{x}=\frac{-\text{bc}}{\text{ad}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Quadratic Equations — Maths STD 10 — Question

Answer

Need a full question paper?

Explore more

Similar questions