Advertisements
Advertisements
प्रश्न
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also find the solution of the equation:
3x2 + 12x + (m + 7) = 0
Advertisements
उत्तर
3x2 + 12x + (m + 7) = 0
Here a = 3, b = 12 and c = m + 7
Given equation has equal roots
Then D = 0
`=>` b2 – 4ac = 0
`=>` (12)2 – 4(3)(m + 7) = 0
`=>` 144 – 12m – 84 = 0
`=>` – 12m = – 60
`=>` m = 5
Put value of m in given equation
3x2 – 12x + 12 = 0
`=>` x2 + 4x + 4 = 0
`=>` (x + 2)2 = 0
`=>` x + 2 = 0
`=>` x = – 2
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
If 1 is a root of the quadratic equation \[3 x^2 + ax - 2 = 0\] and the quadratic equation \[a( x^2 + 6x) - b = 0\] has equal roots, find the value of b.
If the sum and product of the roots of the equation kx2 + 6x + 4k = 0 are real, then k =
Solve the following equation: a2x2 - 3abx + 2b2 = 0
Solve the following equation: `("x" + 3)/("x" - 2) - (1 - "x")/"x" = 17/4`
Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Harish made a rectangular garden, with its length 5 metres more than its width. The next year, he increased the length by 3 metres and decreased the width by 2 metres. If the area of the second garden was 119 sq m, was the second garden larger or smaller ?
Solve the following equation by factorisation :
`(6)/x - (2)/(x - 1) = (1)/(x - 2)`
