Advertisements
Advertisements
प्रश्न
Solve:
(x2 – 3x)2 – 16(x2 – 3x) – 36 = 0
उत्तर
(x2 – 3x)2 – 16(x2 – 3x) – 36 = 0
Let x2 – 3x = y
Then y2 – 16y – 36 = 0
`=>` y2 – 18y + 2y – 36 = 0
`=>` y(y – 18) + 2(y – 18) = 0
`=>` (y – 18)(y + 2) = 0
If y – 18 = 0 or y + 2= 0
`=>` x2 – 3x – 18 = 0 or x2 – 3x + 2 = 0
`=>` x2 – 6x + 3x – 18 = 0 or x2 – 2x – x + 2 = 0
`=>` x(x – 6) + 3(x – 6) = 0 or x(x – 2) – 1(x – 2) = 0
`=>` (x – 6)(x + 3) = 0 or (x – 2)(x – 1) = 0
If x – 6 = 0 or x + 3 = 0 or x – 2 = 0 or x – 1 = 0
Then x = 6 or x = – 3 or x = 2 or x = 1
APPEARS IN
संबंधित प्रश्न
Represent the following situation in the form of a quadratic equation.
A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
Check whether the following is quadratic equation or not.
3x2 - 5x + 9 = x2 - 7x + 3
Without solving, comment upon the nature of roots of the following equations
7x2 – 9x +2 =0
Without solving the quadratic equation 6x2 – x – 2=0, find whether x = 2/3 is a solution of this equation or not.
Solve:
x4 – 10x2 + 9 = 0
`4x^2+4bx-(a^2-b^2)=0`
`3x-4/7+7/(3x-4)=5/2,x≠4/3`
If quadratic equation x2 − (m + 1) x + 6 = 0 has one root as x = 3; find the value of m and the root of the equation.
If x + y = 5 and x - y = 1, then find the value of x.
If ax + by = = a2 - b2 and bx + ay = 0, then the value of x + y is ______.
