Advertisements
Advertisements
Question
`x^2=18x-77`
Solution
`x^2=18x-77`
`⇒x^2-18x+77=0`
`⇒x^2-(11x+7x)+77=0`
`⇒x^2-11x-7x+77=0`
`⇒x(x-11)-7(x-11)=0`
`⇒(x-7)(x-11)=0`
`⇒x-7=0 or x-11=0`
`⇒x=7 or x=11`
Hence, 7 and 11 are the roots of the equation `x^2=18xx77`
APPEARS IN
RELATED QUESTIONS
In the following, determine whether the given values are solutions of the given equation or not:
x2 + x + 1 = 0, x = 0, x = 1
In the following, determine whether the given values are solutions of the given equation or not:
`x^2 - 3sqrt3x+6=0`, `x=sqrt3`, `x=-2sqrt3`
Find the value of p for which the equation 3x2– 6x + k = 0 has distinct and real roots.
Solve the following equation for x and give, in the following case, your answer correct to 2 decimal places:
`4x + 6/x + 13 = 0`
Which of the following are quadratic equation in x?
`x^2-x-3=0`
Solve for x the quadratic equation x2 - 4x - 8 = 0.
Give your answer correct to three significant figures.
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600kms away in time, it had to incease its speed by 400km/ hr from its usual speed. Find the usual speed of the plane.
Solve :
x4 - 2x2 - 3 = 0
Solve :
(x+5)(x-5)=24
The sum of the reciprocals of Varun's age (in years) 3 years ago and 5 years from now is `1/3`. Find his present age.