Advertisements
Advertisements
प्रश्न
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
Advertisements
उत्तर
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
संबंधित प्रश्न
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.
The sum of the squares of three consecutive natural numbers as 149. Find the numbers
A piece of cloth costs Rs. 35. If the piece were 4 m longer and each meter costs Rs. 1 less, the cost would remain unchanged. How long is the piece?
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 – 8x + k = 0 will both have real roots, is ______.
If one of the equation ax2 + bx + c = 0 is three times times the other, then b2 : ac =
If one root of the equation 4x2 − 2x + (λ − 4) = 0 be the reciprocal of the other, then λ =
In each of the following determine whether the given values are solutions of the equation or not.
6x2 - x - 2 = 0; x = `-(1)/(2), x = (2)/(3)`
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Solve the following equation by factorisation :
`(6)/x - (2)/(x - 1) = (1)/(x - 2)`
