Advertisements
Advertisements
प्रश्न
Discuss the nature of roots of 4x2 − x − 2 = 0
उत्तर
4x2 – x – 2 = 0
a = 4, b = – 1, c = – 2
∆ = b2 – 4ac
= (–1)2 – 4(4)(– 2)
= 1 + 32
= 33 >0
⇒ The roots are real and distinct
APPEARS IN
संबंधित प्रश्न
Construct a quadratic equation with roots 7 and −3
A quadratic polynomial has one of its zeros `1 + sqrt(5)` and it satisfies p(1) = 2. Find the quadratic polynomial
Find the condition that one of the roots of ax2 + bx + c may be negative of the other
Find the condition that one of the roots of ax2 + bx + c may be thrice the other
If the equations x2 − ax + b = 0 and x2 − ex + f = 0 have one root in common and if the second equation has equal roots, then prove that ae = 2(b + f)
Discuss the nature of roots of − x2 + 3x + 1 = 0
Discuss the nature of roots of 9x2 + 5x = 0
Without sketching the graph, find whether the graph of the following function will intersect the x-axis and if so in how many points
y = x2 + x + 2
Without sketching the graph, find whether the graph of the following function will intersect the x-axis and if so in how many points
y = x2 − 3x − 7
Solve 2x2 + x – 15 ≤ 0
Solve – x2 + 3x – 2 ≥ 0
Choose the correct alternative:
Find a so that the sum and product of the roots of the equation 2x2 + (a − 3)x + 3a − 5 = 0 are equal is
Choose the correct alternative:
The number of solutions of x2 + |x − 1| = 1 is
Choose the correct alternative:
The equation whose roots are numerically equal but opposite in sign to the roots of 3x2 − 5x − 7 = 0 is
Choose the correct alternative:
If 8 and 2 are the roots of x2 + ax + c = 0 and 3, 3 are the roots of x2 + dx + b = 0, then the roots of the equation x2 + ax + b = 0 are
