If α and β are the roots of the expression 2x2 + 8x + 7 = 0, write down the value of pα2 + β2 + 1
Question
Solution 1
To solve this problem, we first need to find the roots of the equation 2x^2 + 8x + 7 = 0.
Step 1: Find the roots of the equation The roots of a quadratic equation ax^2 + bx + c = 0 are given by the formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
Here, a = 2, b = 8, and c = 7.
So, the roots are:
α, β Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
If α and β are the roots of the expression 2x2 + 8x + 7 = 0, write down the value of pα2 + β2 + 1
If α and β are the roots of the equation 2x2 − x − 4 = 0. Find the equation whose roots are α − βα and β − αβ
If α, β are roots of x2 – 3ax + a2 = 0, find the value(s) of a if α2 + β2 = 74 .
12. If α and β are the roots of the equation 2x2 − x − 4 = 0. Find the equation whose roots are α − βα and β − αβ
Suppose that α, β and γ are the roots of the cubic equationx3 − 4x2 + 3x + 1 = 0.Find the cubic equation whose roots are α2 , β2 and γ2