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
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. Find their present ages.
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also find the solution of the equation:
3x2 + 12x + (m + 7) = 0
The sum of two natural number is 28 and their product is 192. Find the numbers.
Write the condition to be satisfied for which equations ax2 + 2bx + c = 0 and \[b x^2 - 2\sqrt{ac}x + b = 0\] have equal roots.
Solve the following quadratic equation by factorisation:
x2 - 3x - 10 = 0
Solve the following quadratic equation by factorization method.
3p2 + 8p + 5 = 0
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
