Question

Find the roots of the following quadratic equations by factorisation:
2x2 — 5x + 3 = 0

Answer 1

Answer:

Roots of this quadratic equations are 1 and $\frac{3}{2}$

Step-by-step explanation:

$= > 2 {x}^{2} - 5x + 3 = 0\\ \\ = > 2 {x}^{2} - (3 + 2)x + 3 = 0 \\ \\ = > 2 {x}^{2} - 3x - 2 x + 3 = 0 \\ \\ = > x(2x - 3) - 1(2x - 3) = 0 \\ \\ = > (x - 1)(2x - 3) = 0 \\ \\ = > (x - 1) = 0 \: \: \: \: \: \: and \: \: \: \: \: \: (2x - 3) = 0 \\ \\ = > x = 1 \: \: \: \: \: \: and \: \: \: \: \: \: x = \frac{3}{2}$

Answer 2

✯✯ QUESTION ✯✯

Find the roots of the following quadratic equations by factorisation:

${2x}^{2} - 5x + 3 = 0$

✰✰ ANSWER ✰✰

$\longmapsto{{2x}^{2}-5x+3=0}$

$\longmapsto{{2x}^{2}-(3x+2x)+3=0}$

$\longmapsto{{2x}^{2}-3x-2x+3=0}$

$\longmapsto{x(2x-3)-1(2x-3)=0}$

$\longmapsto{(x-1)(2x-3)=0}$

☛Now ,

$\begin{lgathered}\red\longmapsto\:\rm\tt\orange{x-1=0}\\ \\ \red\longmapsto\:\rm\tt\green{x=0+1}\\ \\ \red\longmapsto\:\large\underline{\boxed{\bf\red{x}\tt\orange{=}\tt\blue{1}}}\end{lgathered}$

_______________________

$\begin{lgathered}\red\longmapsto\:\rm\tt\red{2x-3=0}\\ \\ \red\longmapsto\:\rm\tt\blue{2x=0+3}\\ \\ \red\longmapsto\:\rm\tt\purple{2x=3}\\ \\\red\longmapsto\:\large\underline{\boxed{\bf\orange{x}\tt\pink{=}\tt\red{\dfrac{3}{2}}}}\end{lgathered}$