Advertisements
Advertisements
प्रश्न
`4sqrt6x^2-13x-2sqrt6=0`
उत्तर
`4sqrt6x^2-13x-2sqrt6=0`
⇒`4sqrt6x^2-16x+3x-2sqrt6=0`
⇒` 4sqrt2x(sqrt3x-2sqrt2)+sqrt3(sqrt3x-2sqrt2)=0`
⇒`(4sqrt2x+sqrt3)(sqrt3x-2sqrt2)=0`
⇒`4sqrt2x+sqrt3=0 or sqrt3x-2sqrt2=0`
⇒`x=-sqrt3/(4sqrt2)=-(sqrt3xxsqrt2)/(4sqrt2xxsqrt2)=-sqrt8/8 or x=(2sqrt2)/sqrt3=(2sqrt2xxsqrt3)/(sqrt3xxsqrt3)=(2sqrt6)/3`
Hence, the roots of the equation are `-sqrt6/8 and (2sqrt6)/3`
APPEARS IN
संबंधित प्रश्न
Find the values of a, b, c for the quadratic equation 2x2 = x + 3 by comparing with standard form ax2 + bx + c = 0.
In the following, find the value of k for which the given value is a solution of the given equation:
7x2 + kx - 3 = 0, `x=2/3`
Without solving, comment upon the nature of roots of the following equations :
`x^2 + 2sqrt3x - 9 = 0`
Solve `((2x - 3)/(x -1)) - 4((x - 1)/(2x - 3)) = 3`
Solve the following equation and give your answer correct to 3 significant figures: 5x² – 3x – 4 = 0
`6x^2+x--12=0`
`x^2-(sqrt3+1)x+sqrt3=0`
Find the value of p for which the roots of the equation px (x − 2) + 6 = 0, are equal.
Solve:
(x2 – 3x)2 – 16(x2 – 3x) – 36 = 0
Check whether the following are quadratic equations: `(x - 3)^3 + 5 = x^3 + 7x^2 - 1`
