Find the roots by factorization method:2x to the power of 2 -5x+3=0
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Find the roots by factorization method:2x to the power of 2 -5x+3=0
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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.
[tex]\rule{90}2[/tex]
Either,
→ 2x + 1 = 0.
→ 2x = - 1.
→ x = - 1 / 2.
[tex]\rule{90}2[/tex]
Or,
→ x - 3 = 0.
→ x = 3.
Therefore, the value of x is 3 and - 1 / 2.
[tex]\sf{\underline{\underline{\purple{Question:-}}}}[/tex]
Find the roots by factorization method:2x to the power of 2 -5x+3=0.
[tex]\sf{\underline{\underline{\purple{Given:-}}}}[/tex]
[tex]\sf{\underline{\underline{\purple{To\:Find:-}}}}[/tex]
[tex]\sf{\underline{\underline{\purple{Solution:-}}}}[/tex]
[tex]\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[/tex]
[tex]\sf{\underline{\underline{\purple{Hence:-}}}}[/tex]