Advertisements
Advertisements
Question
`6x^2+11x+3=0`
Solution
Given
`6x^2+11x+3=0`
`⇒6x^2+9x+2x+3=0`
`⇒3x(2x+3)+1(2x+3)=0`
`⇒(3x+1)(2x+3)=0`
`⇒3x+1=0 or 2x+3=0`
`⇒x=-1/3 or x=-3/2`
Hence, `-1/3 and -3/2 `are the roots of the equation `6x^2+11x+3=0`
APPEARS IN
RELATED QUESTIONS
Check whether the following are the quadratic equation:
(x + 1)2 = 2(x - 3)
Solve the following quadratic equation by using formula method :
2x2 - 3x = 2
Solve x2 + 7x = 7 and give your answer correct to two decimal places
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation fo find x.
Q - 34
One fourth of herd of camel was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camel.
If -1 and 3 are the roots of x2+px+q=0
then find the values of p and q
Solve the quadratic equation 8x2 – 14x + 3 = 0
- When x ∈ I (integers)
- When x ∈ Q (rational numbers)
Solve `9("x"^2 + 1/"x"^2) -3("x" - 1/"x") - 20 = 0`
If x2 – 2x – 3 = 0; values of x correct to two significant figures are ______.
