Question

Find the roots by factorization method:2x to the power of 2 -5x+3=0

Answer 1

AnsWer :

x = 3 and - 1 / 2.

Correct QuestioN :

Find the roots by factorization method : 2x² - 5x - 3 = 0.

SolutioN :

Factorization method :

→ 2x² - 5x - 3 = 0.

→ 2x² - 6x + x - 3 = 0.

→ 2x( x - 3 ) + 1( x - 3 ) = 0.

→ ( 2x + 1 )( x - 3 ) = 0.

$\rule{90}2$

Either,

→ 2x + 1 = 0.

→ 2x = - 1.

→ x = - 1 / 2.

$\rule{90}2$

Or,

→ x - 3 = 0.

→ x = 3.

Therefore, the value of x is 3 and - 1 / 2.

Answer 2

$\sf{\underline{\underline{\purple{Question:-}}}}$

Find the roots by factorization method:2x to the power of 2 -5x+3=0.

$\sf{\underline{\underline{\purple{Given:-}}}}$

• $\sf 2x^2-5x+3=0$

$\sf{\underline{\underline{\purple{To\:Find:-}}}}$

• Zeroes or root of the polynomial.

$\sf{\underline{\underline{\purple{Solution:-}}}}$

• By splitting Method

$\sf→ 2x^2-5x+3=0\\\sf→ 2x^2(-6+1)x+3=0\\\sf→ 2x^2-6x-x+3=0\\\sf→ 2x(x-3)+1(x-3)=0\\\sf→ (2x+1)(x-3)=0\\\sf→ 2x+1=0, x-3=0\\\sf→ x=\frac{-1}{2}, x=3$

$\sf{\underline{\underline{\purple{Hence:-}}}}$

• Roots of the given polynomial are = -1/2 & 3