Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorisation:
x2 + 3x - 18 = 0
Advertisements
उत्तर
The given quadratic equation is
x2 + 3x - 18 = 0
⇒ x2 + 6x - 3x - 18 = 0
⇒ x(x + 6) -3(x + 6) = 0
⇒ (x + 6) (x - 3) = 0
when x + 6 = 0
x = -6
when x - 3 = 0
x = 3
∴ x = {-6, 3}.
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
6x2 - x - 2 = 0
Solve the following quadratic equations by factorization:
a2x2 – 3abx + 2b2 = 0
Solve the following quadratic equations by factorization:
ax2 + (4a2 − 3b)x − 12ab = 0
The product of two successive integral multiples of 5 is 300. Determine the multiples.
A two-digit number is such that the products of its digits is 8. When 18 is subtracted from the number, the digits interchange their places. Find the number?
Two number differ by 4 and their product is 192. Find the numbers?
If 1 is a root of the quadratic equation \[3 x^2 + ax - 2 = 0\] and the quadratic equation \[a( x^2 + 6x) - b = 0\] has equal roots, find the value of b.
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
