Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
2x2 – 8x – 24 = 0 when x∈I
Advertisements
उत्तर
2x2 – 8x – 24 = 0
⇒ x2 – 4x – 12 = 0 ...(Dividing by 2)
⇒ x2 – 6x + 2x – 12 = 0
⇒ x (x – 6) + 2 (x – 6) = 0
⇒ (x – 6) (x + 2) = 0
Either x – 6 = 0, then, x = 6
or x + 2 = 0, then x = – 2
Hence x = 6, – 2.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
Solve each of the following equations by factorization:
x(x – 5) = 24
Solve the following quadratic equation by factorisation.
25m2 = 9
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q =
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
Find two natural numbers which differ by 3 and whose squares have the sum of 117.
Rs. 7500 is divided equally among a certain number of children. Had there been 20 less children, each would have receive Rs 100 more. Find the original number of children.
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
A dealer sells a toy for ₹ 24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.
