Advertisements
Advertisements
Question
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
Solution
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
⇒ `sqrt(3)x^2 + 9x + 2x + 6sqrt(3)` = 0
⇒ `sqrt(3)x(x + 3sqrt(3)) + 2(x + 3sqrt(3))` = 0
⇒ `(x + 3sqrt3)(sqrt(3)x + 2)` = 0
x + 3`sqrt(3) = 0 or sqrt(3)x + 2` = 0
⇒ x = `-3sqrt(3) or x = -(2)/sqrt(3)` are two roots of the equation.
APPEARS IN
RELATED QUESTIONS
Find the values of k for which the quadratic equation 9x2 - 3kx + k = 0 has equal roots.
Find the roots of the equation .`1/(2x-3)+1/(x+5)=1,x≠3/2,5`
What is the nature of roots of the quadratic equation 4x2 − 12x − 9 = 0?
Solve the following quadratic equation using formula method only
15x2 - 28 = x
Find, using the quadratic formula, the roots of the following quadratic equations, if they exist
x2 + 4x + 5 = 0
Find the value of k for which the roots of the equation 3x2 - 10x + k = 0 are reciprocal of each other.
Find the discriminant of the following equations and hence find the nature of roots: 7x2 + 8x + 2 = 0
Find the value (s) of k for which each of the following quadratic equation has equal roots : (k – 4) x2 + 2(k – 4) x + 4 = 0
Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?
Find the roots of the quadratic equation by using the quadratic formula in the following:
`x^2 - 3sqrt(5)x + 10 = 0`