Solve p2x2+(p2-q2)x-q2=0 by quadratic equation
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Answered by
3
Answer:
Step-by-step explanation:
Given quadratic equation is
p²x² + ( p² - q² )x - q² = 0
dividing each term with p² ,
p²x² / p² + [ ( p² - q² ) / p² ] x - q² / p² = 0
⇒ x² + [ 1 - q² / p² ] x - q² / p² = 0
To find the roots split the middle term
⇒ x² + x - ( q² / p² ) x - q² / p² = 0
⇒ x ( x + 1 ) - ( q² / p² ) ( x + 1) = 0
⇒ ( x+ 1 ) ( x - q² /p² ) = 0
Therefore,
x+1 =0 or x - q² / p² =0
x= -1 or x = q² / p²
Answered by
9
Answer:
x=-1 or q²/p²
Step-by-step explanation:
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