Advertisements
Advertisements
Question
`sqrt(3)x^2 + 11x + 6sqrt(3)` = 0
Advertisements
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.
RELATED QUESTIONS
Solve for x: `1/(x+1)+2/(x+2)=4/(x+4), `x ≠ -1, -2, -3
If p, q are real and p ≠ q, then show that the roots of the equation (p − q) x2 + 5(p + q) x− 2(p − q) = 0 are real and unequal.
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
Discuss the nature of the roots of the following quadratic equations : `3x^2 - 4sqrt(3)x + 4` = 0
Choose the correct answer from the given four options :
The value(s) of k for which the quadratic equation 2x² – kx + k = 0 has equal roots is (are)
The equation 12x2 + 4kx + 3 = 0 has real and equal roots, if:
If (x – a) is one of the factors of the polynomial ax2 + bx + c, then one of the roots of ax2 + bx + c = 0 is:
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
Find the roots of the quadratic equation by using the quadratic formula in the following:
5x2 + 13x + 8 = 0
