Advertisements
Advertisements
Question
Solve the following equation by factorisation :
3x2 + 11x + 10 = 0
Advertisements
Solution
3x2 + 11x + 10 = 0
⇒ 3x2 + 6x + 5x + 10 = 0
3x(x + 2) + 5(x + 2) = 0
⇒ (x + 2)(3x + 5) = 0
Either x + 2 = 0,
then x = –2
or
3x + 5 = 0,
then 3x = –5
⇒ x = `(–5)/(3)`
Hence x = –2, `(–5)/(3)`.
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
If x = 1 is a common root of ax2 + ax + 2 = 0 and x2 + x + b = 0, then, ab =
Solve the following equation : 5x2 - 11x + 2 = 0
Solve the following equation: 4x2 - 13x - 12 = 0
A two digit number is such that the product of its digit is 8. When 18 is subtracted from the number, the digits interchange its place. Find the numbers.
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
Solve the following equation by factorization
x(2x + 5) = 3
The product of two integers is –18; the integers are ______.
