Advertisement Remove all ads

Find the root of the quadratic equations by using the quadratic formula in the following: 12x2-11x+1 = 0 - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

Find the root of the quadratic equations by using the quadratic formula in the following:

`1/2x^2 - sqrt(11)x + 1` = 0

Advertisement Remove all ads

Solution

The quadratic formula for finding the roots of quadratic equation

ax2 + bx + c = 0, a ≠ 0 is given by,

∴ `x = (-(-sqrt(11)) +- sqrt((-sqrt(11))^2 - 4(1/2)(1)))/(2(1/2))`

= `(sqrt(11) +- sqrt(9))/1`

= `sqrt(11) +- 3 = 3 + sqrt(11), -3 + sqrt(11)`

Concept: Nature of Roots
  Is there an error in this question or solution?

APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.3 | Q 1.(vii) | Page 40
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×