Question

Solve the equation 4x² – 9x + 3 = 0, using the quadratic formula.

Answer 1

Given, 4x² – 9x + 3 = 0

Here, a = 4, b = –9, c = 3

By quadratic formula,

x = `(-b +- sqrt(b^2 - 4ac))/(2a)`

x = `(-(-9) +- sqrt((-9)^2 - 4 xx 4 xx 3))/(2 xx 4)`

x = `(9 +- sqrt(81 - 48))/8`

x = `(9 +- sqrt(33))/8`

x = `(9 +- sqrt(33))/8` or `(9 - sqrt(33))/8`