Advertisements
Advertisements
Question
Solve the following equation by factorisation :
x(x + 1) + (x + 2)(x + 3) = 42
Advertisements
Solution
x(x + 1) + (x + 2)(x + 3) = 42
⇒ 2x2 + 6x + 6 – 42 = 0
⇒ x2 + 3x – 18 = 0
⇒ x2 + 3x – 18 = 0 ..(Dividing by 2)
⇒ x2 + 6x – 3x – 18 = 0
⇒ x(x + 6) 3(x + 6) = 0
⇒ (x + 6)(x – 3) = 0
Either x + 6 = 0,
then x = –6
or
x – 3 = 0,
then x = 3
Hence x = –6, 3.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
(2x + 3)(3x − 7) = 0
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
The sum of two numbers is 48 and their product is 432. Find the numbers?
Without solving the following quadratic equation Find the value of p for which the roots are equal
`px^2 - 4x + 3 = 0`
Find two consecutive multiples of 3 whose product is 648.
Solve the following equation: `10"x" - 1/"x" = 3`
Solve the following equation:
`("x" + 1)/("x" - 1) - ("x" - 1)/("x" + 1) = 5/6 , "x" ≠ -1,1`
Solve the following equation : x2 + 2ab = (2a + b)x
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
Solve the following equation by factorization
2x2 – 9x + 10 = 0,when x∈N
