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 for x: x2 – 2ax – (4b2 – a2) = 0
A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
`4x^2+4sqrt3x+3=0`
Solve the following quadratic equations by factorization:
\[3\left( \frac{3x - 1}{2x + 3} \right) - 2\left( \frac{2x + 3}{3x - 1} \right) = 5; x \neq \frac{1}{3}, - \frac{3}{2}\]
If \[x^2 + k\left( 4x + k - 1 \right) + 2 = 0\] has equal roots, then k =
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.
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.
At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than `t^2/4` minutes. Find t.
If the area of a square is 400 m2, then find the side of the square by the method of factorization.
