Advertisements
Advertisements
प्रश्न
`sqrt3x^2+10x+7sqrt3=0`
उत्तर
`sqrt3x^2+10x+7sqrt3=0`
⇒`3x^2+10sqrt3x+21=0` (Multiplying both sides by `sqrt3` )
⇒`3x^2+10sqrt3x=-21`
⇒`(sqrt3x)^2+2xxsqrt3x xx5+5^2=-21+5^2` (Adding `5^2` on both sides)
⇒`(sqrt3x+5)^2=21+25=4=2^2`
⇒`sqrt3x+5=+-2` (Taking square root on both sides)
⇒`sqrt3x+5=2 or sqrt3x+5=-2`
⇒`sqrt3x=-3 or sqrt3x=-7`
⇒`x=-3/sqrt3=sqrt3 or x=-7/sqrt3=-7sqrt3/3`
Hence, `-sqrt3` and `-(7sqrt3)/3` are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by completing square method : x2 + 10x + 21 = 0.
Find the roots of the quadratic equations 2x2 + x + 4 = 0 by applying the quadratic formula.
Two water taps together can fill a tank in `9 3/8`hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
3x2 + 11x + 10 = 0
`4x^2+4bx-(a^2-b^2)=0`
`sqrt2x^3-3x-2sqrt2=0`
The hypotenuse of a right-angled triangle is 1 meter less than twice the shortest side. If the third side 1 meter more than the shortest side, find the side, find the sides of the triangle.
Find the value of discriminant.
2y2 – 5y + 10 = 0
The sum of the squares of two consecutive multiples of 7 is 637. Find the multiples.
The sum of the squares of two consecutive even numbers is 340. Find the numbers.
