Advertisements
Advertisements
Question
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
Advertisements
Solution
4x2 + 4 bx - (a2 - b2) = 0
`"x"^2 + "bx" - (("a"^2 - "b"^2))/4 = 0`
`"x"^2 + ("a + b")/2 xx -("a - b")/2 xx -("a"^2 - "b"^2)/4 = 0`
`"x" {"x" + ("a + b")/2} - "(a - b)"/2 {"x" + ("a + b")/2} = 0`
`{"x" + (("a + b"))/2} {"x" - (("a - b"))/2} = 0`
`{"x" + (("a + b"))/2} = 0 , {"x" - (("a - b"))/2} = 0`
`"x" = -(("a + b"))/2 , "x" = (("a - b"))/2`
APPEARS IN
RELATED QUESTIONS
Find two numbers whose sum is 27 and product is 182.
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Solve:
`1/p + 1/q + 1/x = 1/(x + p + q)`
If `sqrt (2/3)` is a solution of equation 3x2 + mx + 2 = 0, find the value of m.
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
Solve the following equation by factorization
`x/(x - 1) + (x - 1)/x = 2(1)/(2)`
At an annual function of a school, each student gives the gift to every other student. If the number of gifts is 1980, find the number of students.
A person was given Rs. 3000 for a tour. If he extends his tour programme by 5 days, he must cut down his daily expenses by Rs. 20. Find the number of days of his tour programme.
Find the roots of the following quadratic equation by the factorisation method:
`2x^2 + 5/3x - 2 = 0`
Find the roots of the following quadratic equation by the factorisation method:
`2/5x^2 - x - 3/5 = 0`
