Advertisements
Advertisements
प्रश्न
Discuss the nature of the roots of the following equation: `5x^2 - 6sqrt(5)x + 9` = 0
Advertisements
उत्तर
`5x^2 - 6sqrt(5)x + 9` = 0
Here `a = 5, b = -6sqrt(5), c = 9`
∴ D = b2 – 4ac
= `(-6sqrt(5))^2 - 4 xx 5 xx 9`
= 180 - 180
= 0
∴ D = 0
∴ Roots are real and equal.
APPEARS IN
संबंधित प्रश्न
Solve the equation by using the formula method. 3y2 +7y + 4 = 0
Without solving, examine the nature of roots of the equation x2 – 5x – 2 = 0
Find the value of k for which the following equation has equal roots.
x2 + 4kx + (k2 – k + 2) = 0
Find the values of k for which the roots are real and equal in each of the following equation:
4x2 - 3kx + 1 = 0
Find the values of k for which the roots are real and equal in each of the following equation:
kx(x - 2) + 6 = 0
Find the value of the discriminant in the following quadratic equation:
2x2 - 3x + 1 = O
In each of the following, determine whether the given numbers are roots of the given equations or not; x2 – x + 1 = 0; 1, – 1
Discuss the nature of the roots of the following quadratic equations : `2sqrt(3)x^2 - 5x + sqrt(3)` = 0
Complete the following activity to find the value of discriminant for quadratic equation 4x2 – 5x + 3 = 0.
Activity: 4x2 – 5x + 3 = 0
a = 4, b = ______, c = 3
b2 – 4ac = (–5)2 – (______) × 4 × 3
= ( ______ ) – 48
b2 – 4ac = ______
The quadratic equation whose roots are 1:
