Advertisements
Advertisements
प्रश्न
`sqrt3x^2+11x+6sqrt3=0`
उत्तर
Given:
`sqrt3x^2+11x+6sqrt3=0`
⇒`sqrt3x^2+9x+2x+6sqrt3=0`
⇒`sqrt3x(x+3sqrt3)+2(x+3sqrt3)=0`
⇒`(x+3sqrt3)(sqrt3x+2)=0`
⇒`x+3sqrt3= or sqrt3x+2=0`
⇒`x=-3sqrt3 or x=(-2)/sqrt3=(-2xxsqrt3)/(sqrt3xxsqrt3)=(-2sqrt3)/3`
Hence, the roots of the equation are `-3sqrt3` and `(-2sqrt3)/3`
APPEARS IN
संबंधित प्रश्न
Check whether the following is the quadratic equation:
(x - 2)(x + 1) = (x - 1)(x + 3)
Without solving, comment upon the nature of roots of the following equations
25x2 – 10x +1=0
Solve the following equation for x and give, in the following case, your answer correct to 2 decimal places:
x2 – 5x – 10 = 0
Solve:
(x2 – x)2 + 5(x2 – x) + 4 = 0
Solve `sqrt(x/(x- 3)) + sqrt((x - 3)/x) = 5/2`
`a/((ax-1))+b/((bx-1))=(a+b),x≠1/a,1/b`
A train travels a distance of 300kms at a constant speed. If the speed of the train is increased by 10km/ hour, the j ourney would have taken 1 hour less. Find the original speed of the train.
Find the value of 'p', if the following quadratic equations have equal roots:
x2 + (p − 3)x + p = 0
In each of the following, determine whether the given numbers are solutions of the given equation or not: `x^2 - sqrt(2)x - 4 = 0, x = -sqrt(2),2sqrt(2)`
If x2 – 8x – 9 = 0; values of x correct to one significant figure are ______.
