Advertisements
Advertisements
प्रश्न
Solve:
x(x + 1) + (x + 2)(x + 3) = 42
Advertisements
उत्तर
x(x + 1) + (x + 2)(x + 3) = 42
`=>` x2 + x + x2 + 3x + 2x + 6 – 42 = 0
`=>` 2x2 + 6x – 36 = 0
`=>` 2x2 + 12x – 6x – 36 = 0
`=>` 2x(x + 6) – 6(x + 6) = 0
`=>` (x + 6)(2x – 6) = 0
If x + 6 = 0 or 2x – 6 = 0
Then x = – 6 or x = 3
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
abx2 + (b2 – ac)x – bc = 0
If an integer is added to its square, the sum is 90. Find the integer with the help of quadratic equation.
Solve the following equation : `"ax"^2 + (4"a"^2 - 3"b")"x" - 12"ab" = 0`
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
A two digit number is such that the product of the digit is 12. When 36 is added to the number, the digits interchange their places. Find the numbers.
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3`sqrt(3)` + 6 = 0; x = `sqrt(3)`, x = -2`sqrt(3)`
Solve the following equation by factorization
`(1)/(7)(3x – 5)^2`= 28
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
Applying the Zero Product Property to \[ (x - 5)(x + 1) = 0 \], what are the values of \( x \)?
