Advertisements
Advertisements
प्रश्न
Solve the following : `("x" - 1/2)^2 = 4`
Advertisements
उत्तर
`("x" - 1/2)^2 = 4`
`"x"^2 - "x" + 1/4 = 4`
`"x"^2 - "x" - 15/4 = 0`
`"x"^2 + 3/2 "x" - 5/2 "x" - 15/4 = 0`
`"x" ("x" + 3/2) - 5/2 ("x" + 3/2) = 0`
`("x" + 3/2)("x" - 5/2) = 0`
x = `-3/2` , x = `5/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`4sqrt3x^2+5x-2sqrt3=0`
Rs. 9000 were divided equally among a certain number of persons. Had there been 20 more persons, each would have got Rs. 160 less. Find the original number of persons.
Solve the following quadratic equations by factorization:
\[2x^2 + ax - a^2 = 0\]
The positive value of k for which the equation x2 + kx + 64 = 0 and x2 – 8x + k = 0 will both have real roots, is ______.
Solve the following equation: 4x2 + 4 bx - (a2 - b2) = 0
The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
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)`
Solve the following equation by factorization
3x2 – 5x – 12 = 0
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.
Solve the following equation by factorisation :
2x2 + ax – a2= 0
