PLZ TELL HOW TO SOLVE
Attachments:

Answers
Answered by
2
SOLUTIONS:
Given :-
2 is a root of the quadratic equation 3x² + px - 8 = 0 and the quadratic equation 4x² - 2px + k = 0 had equal roots.
To find :-
The value of 'k'.
Step-by-step-explanation :-
Solving 3x² + px - 8 = 0 ( given root is 2 ).
⇒ 3x² + px - 8 = 0
⇒ 3 × (2)² + p × 2 = 8
⇒ 3 × 4 + 2p = 8
⇒ 12 + 2p = 8
⇒ 2p = 8 - 12
⇒ 2p = - 4
⇒ p = -2
Solving 4x² - 2px + k = 0 ( given root is 2 )
⇒ 4x² - 2px + k = 0
⇒ 4 × (2)² - 2 × (-2) × 2 + k = 0
⇒ 4 × 4 + 8 + k = 0
⇒ 16 - 8 + k = 0
⇒ 8 + k = 0
⇒ k = - 8
∴ The value of k = - 8
Similar questions