Advertisements
Advertisements
Question
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
Advertisements
Solution
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)`.
RELATED QUESTIONS
Solve the following quadratic equation by factorization:
`(x-5)(x-6)=25/(24)^2`
Solve the following quadratic equations by factorization:
`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7
Solve : x2 – 11x – 12 =0; when x ∈ N
Solve the following quadratic equations by factorization:
`(2x – 3)^2 = 49`
Solve the following equation: `("a+b")^2 "x"^2 - 4 "abx" - ("a - b")^2 = 0`
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Solve equation using factorisation method:
`(x - 3)/(x + 3) + (x + 3)/(x - 3) = 2 1/2`
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
The hypotenuse of grassy land in the shape of a right triangle is 1 metre more than twice the shortest side. If the third side is 7 metres more than the shortest side, find the sides of the grassy land.
If x = 3 is one root of the quadratic equation 2x2 + px + 30 = 0, find the value of p and the other root of the quadratic equation.
