Question

alpha and beta are zeros of p x square - 2 X + 3 p if alpha + beta is equal to Alpha Beta find the value of p​

Answer 1

• px² - 2x + 3p = 0
• here : a = p , b = -2 , c = 3p
• α+β = αβ
• Sum of Zeros = α+β = -b/a = -(-2)/p = 2/p
• Product of Zeros = αβ = c/a = 3p/p = 3
• then ,
• 2/p = 3
• 3p = 2
• p = ⅔
• The Value of p = ⅔