Advertisements
Advertisements
प्रश्न
If the area of a square is 400 m2, then find the side of the square by the method of factorization.
उत्तर
Let the side of the square be x meter.
Then, Area of a square = side × side = x × x = x2
According to the question,
x2 = 400
⇒ x2 – 400 = 0
⇒ x2 – (20)2 = 0
⇒ (x + 20) (x – 20) = 0 ......[∵ a2 – b2 = (a + b) (a – b)]
⇒ (x + 20) = 0 or (x – 20) = 0
⇒ x = – 20 or x = 20
Because a square's side cannot be negative, x = 20.
As a result, the side of the square is 20 m.
APPEARS IN
संबंधित प्रश्न
Solve for x
`(2x)/(x-3)+1/(2x+3)+(3x+9)/((x-3)(2x+3)) = 0, x!=3,`
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number the digits are interchanged. Find the number
A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.
A takes 10 days less than the time taken by B to finish a piece of work. If both A and B together can finish the work in 12 days, find the time taken by B to finish the work.
A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
`8x^2-14x-15=0`
The sum of a natural number and its square is 156. Find the number.
The difference of two natural numbers is 5 and the difference of heir reciprocals is `5/14`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 :
`1/(("x" - 1)(x - 2)) + 1/(("x" - 2)("x" - 3)) + 1/(("x" - 3)("x" -4)) = 1/6`
The sum of a number and its reciprocal is `2 9/40`. Find the number.
By increasing the speed of a car by 10 km/hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
In each of the following, determine whether the given values are solution of the given equation or not:
`a^2x^2 - 3abx + 2b^2 = 0; x = a/b, x = b/a`.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
If the product of two consecutive even integers is 224, find the integers.
Two natural numbers are in the ratio 3 : 4. Find the numbers if the difference between their squares is 175.
Solve the quadratic equation: x2 – 2ax + (a2 – b2) = 0 for x.
If the sum of the roots of the quadratic equation ky2 – 11y + (k – 23) = 0 is `13/21` more than the product of the roots, then find the value of k.
