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Solve to 2x square - 5 x + 3 is equal to zero by using formula |
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Answer» Answer: 2x 2 −5x+3=0 ⇒x 2 − 2 5
x+ 2 3
=0 (Dividing throughough by 2) ⇒x 2 − 2 5
x=− 2 3
(Shifting the constant term on RHS) ⇒x 2 −2( 4 5
)x+( 4 5
) 2 =( 4 5
) 2 − 2 3
(ADDING ( 2 1
Coeff.ofx) 2 onboth sides) ⇒(x− 4 5
) 2 = 16 25
− 2 3
⇒(x− 4 5
) 2 = 16 1
⇒x− 4 5
=± 4 1
⇒x= 4 5
± 4 1
⇒x= 4 5
+ 4 1
= 4 6
ORX= 4 5
− 4 1
= 4 4
⇒x= 2 3
orx=1 Here the roots of the equation are 2 3
and 1 |
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