Advertisements
Advertisements
Question
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
Solution
`"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
`"x"^2 - sqrt 2 "x" - 3 sqrt 2 "x" + 6 = 0 `
`"x"("x" - sqrt 2) - 3 sqrt 2 ("x" - sqrt 2) = 0`
`("x" - sqrt 2)("x" - 3 sqrt 2) = 0`
`("x" - sqrt 2) = 0 , ("x" - 3 sqrt 2) = 0`
x = `sqrt 2` , x = `3 sqrt 2`
APPEARS IN
RELATED QUESTIONS
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Solve the following quadratic equations by factorization:
`sqrt2x^2-3x-2sqrt2=0`
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
If a and b can take values 1, 2, 3, 4. Then the number of the equations of the form ax2 +bx + 1 = 0 having real roots is
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
Five years ago, a woman’s age was the square of her son’s age. Ten years later her age will be twice that of her son’s age. Find:
The age of the son five years ago.
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
Solve the following by reducing them to quadratic form:
`sqrt(x^2 - 16) - (x - 4) = sqrt(x^2 - 5x + 4)`.
If x = p is a solution of the equation x(2x + 5) = 3, then find the value of p.