Advertisements
Advertisements
प्रश्न
Without solving, comment upon the nature of roots of the following equation:
6x2 – 13x + 4 = 0
उत्तर
6x2 – 13x + 4 = 0
a = 6, b = −13 and c = 4
∴ Discriminant = b2 – 4ac
= (−13)2 – 4(6)(4)
= 169 – 96
= 73
Since 73 is not a perfect square, roots are irrational
Since D > 0, then equation has two real and unequal roots.
APPEARS IN
संबंधित प्रश्न
Verify whether 1 is the root of the quadratic equation : `x^2+3x-4=0`
The equation 3x2 – 12x + (n – 5) = 0 has equal roots. Find the value of n.
Solve the equation `2x - 1/x = 7`. Write your answer correct to two decimal places.
`3sqrt(x/5)+3sqrt(5/x)=10`
Determine whether x = -1 is a root of the equation x2 - 3x +2=0 or not.
If quadratic equation x2 − (m + 1) x + 6 = 0 has one root as x = 3; find the value of m and the root of the equation.
Solve the following quadratic equation:
`(1)/(a + b + x) = (1)/a + (1)/b + (1)/x, a + b ≠ 0`
In each of the following, determine whether the given numbers are solutions of the given equation or not: `x^2 - 3sqrt(3)x + 6 = 0; sqrt(3), -2sqrt(3)`
Solve the following equation: `x - (18)/x = 6`. Give your answer correct to two x significant figures.
The quadratic equation has degree: