Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
(x – 4)2 + 52 = 132
उत्तर
(x – 4)2 + 52 = 132
x2 – 8x + 16 + 25 = 169
x2 - 8x + 41 - 169 = 0
⇒ x2 - 8x - 128 = 0
⇒ x2 - 16x + 8x - 128 = 0
⇒ x (x - 16) + 8(x - 16) = 0
⇒ (x - 16) (x + 8) = 0
Either x - 16 = 0,
then x = 16
or
x + 8 = 0,
then x = -8
Hence x = 16, -8.
APPEARS IN
संबंधित प्रश्न
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
The sum of a natural number and its square is 156. Find the number.
Solve the following equation: 2x2 - 3x - 9=0
Solve the following equation : x2 + 2ab = (2a + b)x
Solve the following equation :
`("x" - 1)/("x" - 2) + ("x" - 3)/("x" - 4) = 3 1/3`
In each of the following determine whether the given values are solutions of the equation or not.
x2 + 6x + 5 = 0; x = -1, x = -5
Two years ago, a man’s age was three times the square of his daughter’s age. Three years hence, his age will be four times his daughter’s age. Find their present ages.
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
If x = –2 is the common solution of quadratic equations ax2 + x – 3a = 0 and x2 + bx + b = 0, then find the value of a2b.
