Question

Solve 3x2-5x+2=0 using the formula

Answer 1

Hey there buddy! Here is ur answer

Answer 2

$\large\mathsf{\underline{ \ Given \ equation \ : \ }}$

$\implies$ $\mathsf\red{3x^2 \ - \ 5x \ + \ 2 \ = \ 0}$

$\large\mathsf{\underline{ \ Solution \ : \ }}$

$\mathsf\blue{Using \ Middle \ Term \ Factorisation}$

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

$\mathsf\blue{Taking \ Common}$

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

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

$\mathsf\blue{Using \ Zero \ Product \ Rule}$

$\mathsf\blue{( \ 3x \ - \ 2 \ ) \ = \ 0 \ and \ ( \ x \ - \ 1 \ ) \ = \ 0}$

$\mathsf\blue{x \ = \ {\dfrac{2}{3}} \ and \ x \ = \ 1}$

$\blue\therefore$

${\large{\boxed{\mathsf{\blue{x \ = \ {\dfrac{2}{3}}, \ 1}}}}}$