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
Solve the following quadratic equation by Factorisation method: x2 + 7x + 10 = 0
Solve the following quadratic equations by factorization:
(x − 4) (x + 2) = 0
Out of a group of swans, 7/2 times the square root of the total number are playing on the share of a pond. The two remaining ones are swinging in water. Find the total number of swans.
Solve the following quadratic equation by factorisation.
\[6x - \frac{2}{x} = 1\]
Factorise : m2 + 5m + 6.
The sum of the square of two numbers is 233. If one of the numbers is 3 less than twice the other number. Find the numbers.
A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.
If `sqrt (2/3)` is a solution of equation 3x2 + mx + 2 = 0, find the value of m.
Solve the following equation by factorization
`x + (1)/x = 2(1)/(20)`
Mohini wishes to fit three rods together in the shape of a right triangle. If the hypotenuse is 2 cm longer than the base and 4 cm longer than the shortest side, find the lengths of the rods.
