Advertisements
Advertisements
Question
Solve the following equation: `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
Advertisements
Solution
`"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `
`"x"^2 - "x" - sqrt 2 "x" + sqrt 2 = 0`
`"x"("x" - 1) - sqrt 2 ("x" - 1) = 0`
(x - 1) `("x" - sqrt 2) = 0`
(x - 1) = 0 , `(x - sqrt 2)` = 0
x = 1 , x = `sqrt 2`
APPEARS IN
RELATED QUESTIONS
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.
Solve the following quadratic equations by factorization:
`100/x-100/(x+5)=1`
If \[1 + \sqrt{2}\] is a root of a quadratic equation will rational coefficients, write its other root.
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
Solve the following equation: abx2 +(b2-ac) x - bc = 0
In each of the following, determine whether the given values are solution of the given equation or not:
x2 - 3x + 2 = 0; x = 2, x = -1
2x articles cost Rs. (5x + 54) and (x + 2) similar articles cost Rs. (10x – 4), find x.
The length (in cm) of the hypotenuse of a right-angled triangle exceeds the length of one side by 2 cm and exceeds twice the length of another side by 1 cm. Find the length of each side. Also, find the perimeter and the area of the triangle.
Two natural numbers are in the ratio 3 : 4. Find the numbers if the difference between their squares is 175.
Forty years hence, Mr. Pratap’s age will be the square of what it was 32 years ago. Find his present age.
