Advertisements
Advertisements
Question
Without solving, comment upon the nature of roots of the following equation:
7x2 – 9x + 2 = 0
Solution
7x2 – 9x + 2 = 0
a = 7, b = −9 and c = 2
∴ Discriminant = b2 – 4ac
= (−9)2 – 4(7)(2)
= 81 – 56
= 25
Since D > 0, then equation has two real and unequal roots.
APPEARS IN
RELATED QUESTIONS
Verify whether 1 is the root of the quadratic equation : `x^2+3x-4=0`
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore. If the average speed of the express train is 1 1 km/hr more than that of the passenger train, form the quadratic equation to find the average speed of express train.
Solve `(1 + 1/(x + 1))(1-1/(x - 1)) = 7/8`
Solve the following equation using the formula:
2x2 + 7x + 5 = 0
Solve the following equation for x and give, in the following case, your answer correct to 2 decimal places:
x2 – 5x – 10 = 0
Solve the following equations for x and give, in each case, your answer correct to two decimal places :
`x^2 - 16x + 6 = 0`
Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0
Which of the following are quadratic equation in x?
`sqrt2x^2+7x+5sqrt2`
The angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows, he killed the chariot driver of Bheeshm. With one arrow each, he knocked down respectively the chariot, the flag and the bow of Bheeshm. Finally, with one more than 4 times the square root of arrows, he laid below Bheeshm unconscious on the arrow bed. Find the total number of arrows Arjun had.
Solve the following equation by using formula :
x2 + 7x – 7 = 0
