Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
Advertisements
उत्तर
2x2 + ax - a2 = 0
⇒ 2x2 + 2ax - ax - a2 = 0
⇒ 2x(x + a) -a(x + a) = 0
⇒ (x = a) (2x - a) = 0
⇒ x + a = 0 or 2x - a = 0
⇒ x = -a and x = `a/(2)`.
संबंधित प्रश्न
Solve the following quadratic equation for x:
`x^2+(a/(a+b)+(a+b)/a)x+1=0`
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
The sum of two natural numbers is 20 while their difference is 4. Find the numbers.
Find the values of k for which the roots are real and equal in the following equation:
\[kx\left( x - 2\sqrt{5} \right) + 10 = 0\]
Solve the following equation:
(2x+3) (3x-7) = 0
The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
Solve equation using factorisation method:
(x + 1)(2x + 8) = (x + 7)(x + 3)
Solve the following equation by factorization
3x2= x + 4
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train.
In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 [see figure]. Find the length and breadth of the pond.
