Advertisements
Advertisements
Question
Find the roots of the quadratic equations 2x2 + x – 4 = 0 by applying the quadratic formula.
Solution
2x2 + x - 4 = 0
On comparing this equation with ax2 + bx + c = 0, we get
a = 2, b = 1 and c = -4
By using quadratic formula, we get
`x = (-b±sqrt(b2 - 4ac))/(2a)`
`⇒x = (-1±sqrt(1+32))/4`
`⇒x = (-1±sqrt33)/4`
`∴ x = (-1+sqrt33)/4 `
APPEARS IN
RELATED QUESTIONS
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
`x^2-4sqrt2x+6=0`
The area of right-angled triangle is 96 sq meters. If the base is three time the altitude, find the base.
Fill in the gap and complete.
Find the value of discriminant.
x2 + 7x – 1 = 0
Form the quadratic equation from the roots given below.
0 and 4
The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is \[\frac{29}{20}\].Find the original fraction.
For solving the quadratic equations `"x"^2 + 8"x" =-15` by completing the square method, find the third term.
The positive root of `sqrt(3"x"^2 + 6)` = 9 is:
If Ritu were younger by 5 years than what she really is, then the square of her age would have been 11 more than five times her present age. What is her present age?
Find the remainder when p(x) = 3x2 + 2x – 7 is divided by 2x + 1.
