Advertisements
Advertisements
प्रश्न
Solve the following equation by factorisation :
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Advertisements
उत्तर
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
⇒ `sqrt(3)x^2 + 3x + 7x + 7sqrt(3)` = 0
⇒ `sqrt(3)x(x + sqrt(3)) + 7(x + sqrt(3))` = 0
⇒ `(x + sqrt(3))(sqrt(3) + 7)` = 0
Either `x + sqrt(3)` = 0,
then x = `-sqrt(3)`
or
`sqrt(3) x + 7` = 0,
then `sqrt(3)x` = –7
⇒ x = `(-7)/sqrt(3)`
x = `(-7 xx sqrt(3))/(sqrt(3) xx sqrt(3)`
= `(-7sqrt(3))/(3)`
Hence x = `-sqrt(3), (-7sqrt(3))/(3)`.
APPEARS IN
संबंधित प्रश्न
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
The sum of the squares of two consecutive positive even numbers is 452. Find the numbers.
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
Solve the following quadratic equations by factorization:
\[16x - \frac{10}{x} = 27\]
If the roots of the equations \[\left( a^2 + b^2 \right) x^2 - 2b\left( a + c \right)x + \left( b^2 + c^2 \right) = 0\] are equal, then
A two digit number is four times the sum and 3 times the product of its digits, find the number.
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
There are three consecutive positive integers such that the sum of the square of the first and the product of other two is 154. What are the integers?
If the sum of two smaller sides of a right – angled triangle is 17cm and the perimeter is 30cm, then find the area of the triangle.
Solve the following equation by factorisation :
`sqrt(x + 15) = x + 3`
