Question

Solve the following equation by using formula :

2x² – 7x + 6 = 0

Answer 1

2x² – 7x + 6 = 0
Here a = 2, b = -7, c = 6
∴ D = b² - 4ac 
= (-7)² - 4 x 2 x 6
= 49 - 48 
= 1

∴ x = `(-b ± sqrt(b^2 - 4ac))/(2a)`

= `(-b ± sqrt("D"))/(2a)`

= `(-(-7) ± sqrt(1))/(2 xx 2)`

= `(7 + 1)/(4)`

∴ x₁ = `(7 + 1)/(4)`

= `(8)/(4)`
= 2
and
x₂ = `(7 - 1)/(4)`

= `(6)/(4)`

= `(3)/(2)`
∴ x = 2, `(3)/(2)`.