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 for x
:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3
Solve the following quadratic equation for x : 4x2 − 4a2x + (a4 − b4) =0.
Solve the following quadratic equations by factorization:
`(x-1/2)^2=4`
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
In a class test, the sum of the marks obtained by P in Mathematics and science is 28. Had he got 3 marks more in mathematics and 4 marks less in Science. The product of his marks would have been 180. Find his marks in two subjects.
Find the tow consecutive positive odd integer whose product s 483.
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
Solve the following equation: a2x2 - 3abx + 2b2 = 0
Solve the following equation by factorization
`sqrt(3x + 4) = x`
The product of two integers is –18; the integers are ______.
