Advertisements
Advertisements
प्रश्न
Find the sum and product of the roots for the following quadratic equation
3y2 – y – 4 = 0
उत्तर
3y2 – y – 4 = 0 ÷ 3
`y^2 - y/3 - 4/3` = 0
`y^2 - (1/3)y + ((-4)/3)` = 0
∴ α + β = `(1)/(3)`
αβ = `(-4)/(3)`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method
4x2 – 7x – 2 = 0
Solve the following quadratic equation by completing the square method
9x2 – 12x + 4 = 0
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
15x2 + 11x + 2 = 0
Find the value of ‘k’ to identify the roots of the following equation is real and equal
(5k – 6)x2 + 2kx + 1 = 0
Write the following expression in terms of α + β and αβ
`alpha/(3beta) + beta/(3alpha)`
The roots of the equation 2x2 – 7x + 5 = 0 are α and β. Without solving for the roots, find `alpha/beta + beta/alpha`
The roots of the equation x2 + 6x – 4 = 0 are α, β. Find the quadratic equation whose roots are α2β and β2α
If α, β are the roots of 7x2 + ax + 2 = 0 and if β – α = `(-13)/7` Find the values of a
If one root of the equation 3x2 + kx + 81 = 0 (having real roots) is the square of the other then find k