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The roots α and β of the quadratic equation x2 -5x+3 (k-1)=0 are such Last updated at Dec 16, 2024 by Teachoo The roots α and β of the quadratic equation x 2 – 5x + 3 (k – 1) = 0 are such that α – β = 1 Find the value k Question 28 (Choice - 2) The roots α and β of the quadratic equation x2 – 5x + 3 (k – 1) = 0 are such that α – β = 1
The roots alpha and beta of the quadratic equation x²-5x+3 ( k-1) = 0 . . . Roots of equation x²- 5x + 3 ( k-1) = 0 are α and β α + β = 5 (1) α - β = 1 (2) So, the value of k is 3 Answer: The value of ‘ k ’ of the given quadratic equation is 3 Step-by-step explanation: The quadratic equation given is: On comparing the equation with standard form we get:
[FREE] If \alpha and \beta are the roots of x^2 + 5x - 1 = 0, then find . . . To find the value of α² + β² when α and β are the roots of the quadratic equation x² + 5x - 1 = 0, we can make use of the fact that for any quadratic equation ax² + bx + c = 0, the sum of its roots α and β is given by -b a and the product of its roots α and β is given by c a
Let alpha and beta be the roots of x^ (2)-5x+3=0 with alpha gt beta. If Identify the roots of the quadratic equation: The given equation is x2−5x+3 = 0 We will find the roots α and β using the quadratic formula Here, a = 1, b= −5, and c =3 α,β = 5±√(−5)2−4⋅1⋅3 2⋅1 = 5±√25−12 2 = 5±√13 2 Hint: Use the quadratic formula to find the roots of the equation 2
[Solved] The roots α and β of a quadratic equati - Testbook. com The roots α and β of a quadratic equation, satisfy the relations α + β = α 2 + β 2 and αβ = α 2 β 2 What is the number of such quadratic equations? Concept: Consider a quadratic equation: ax 2 + bx + c = 0 Let, α and β are the roots Quadratic equation in the form of roots: x 2 – (α+β)x + (αβ) = 0 Calculation: Given, αβ = α 2 β 2 ⇒ αβ = 1