Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Advertisements
उत्तर
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
[∵ `sqrt(3) xx 7sqrt(3) = 7 xx 3 = 21]`
⇒ `sqrt(3)x(x + sqrt(3) + 7(x + sqrt(3)` = 0
⇒ `(x + sqrt(3)) (sqrt(3)x + 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)`
= `(-7 sqrt(3))/(3)`
Hence x = `-sqrt(3), -(7sqrt(3))/(3)`.
APPEARS IN
संबंधित प्रश्न
Find the two consecutive natural numbers whose product is 20.
The number of quadratic equations having real roots and which do not change by squaring their roots is
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
Solve the following by reducing them to quadratic form:
`sqrt(y + 1) + sqrt(2y - 5) = 3, y ∈ "R".`
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)`
In each of the following, determine whether the given values are solution of the given equation or not:
`x^2 - sqrt(2) - 4 = 0; x = -sqrt(2), x = -2sqrt(2)`
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
Solve the following equation by factorization
`(1)/(2a + b + 2x) = (1)/(2a) + (1)/b + (1)/(2x)`
Find the values of x if p + 7 = 0, q – 12 = 0 and x2 + px + q = 0,
