Advertisements
Advertisements
प्रश्न
Determine the quadratic equation, whose sum and product of roots are – (2 – a)2, (a + 5)2
उत्तर
Sum of the roots = – (2 – a)2; Product of the roots = (a + 5)2
x2 – (sum of the roots)x + product of the roots = 0
x2 – [–(2 – a)2]x + (a + 5)2 = 0
x2 + (2 – a)2x + (a + 5)2 = 0
APPEARS IN
संबंधित प्रश्न
Determine the quadratic equation, whose sum and product of roots are `5/3, 4`
Determine the quadratic equation, whose sum and product of roots are `(-3)/2`, – 1
Find the sum and product of the roots for the following quadratic equation
3y2 – y – 4 = 0
Solve the following quadratic equation by formula method
36y2 – 12ay + (a2 – b2) = 0
A garden measuring 12m by 16m is to have a pedestrian pathway that is ‘ω’ meters wide installed all the way around so that it increases the total area to 285 m2. What is the width of the pathway?
The hypotenuse of a right angled triangle is 25 cm and its perimeter 56 cm. Find the length of the smallest side
Determine the nature of the roots for the following quadratic equation
9a2b2x2 – 24abcdx + 16c2d2 = 0, a ≠ 0, b ≠ 0
Find the value of ‘k’ to identify the roots of the following equation is real and equal
kx2 + (6k + 2)x + 16 = 0
Write the following expression in terms of α + β and αβ
`(alpha + 3)/beta + (beta + 3)/alpha`
The roots of the equation x2 + 6x – 4 = 0 are α, β. Find the quadratic equation whose roots are α2 and β2