Anyone please solve this question using quadratic formula
Attachments:
Answers
Answered by
1
Answer:
I think it is helpful for you
Attachments:
Answered by
2
EXPLANATION.
⇒ (x - 2)/4 = (x + 2)/x, x ≠ 0.
As we know that,
Cross multiply both the equation, we get.
⇒ x(x - 2) = 4(x + 2).
⇒ x² - 2x = 4x + 8.
⇒ x² - 2x - 4x - 8 = 0.
⇒ x² - 6x - 8 = 0.
This equation is in the form of ax² + bx + c, (a ≠ 0).
It means it is a quadratic equation.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = b² - 4ac.
⇒ D = (-6)² - 4(1)(-8).
⇒ D = 36 + 32.
⇒ D = 68.
⇒ α = - b + √D/2a.
⇒ α = - (-6) + √68/2.
⇒ α = 6 + √68/2.
⇒ α = 6 + 2√17/2.
⇒ α = 2(3 + √17)/2.
⇒ α = 3 + √17.
⇒ β = - b - √D/2a.
⇒ β = - (-6) - √68/2.
⇒ β = 6 - √68/2.
⇒ β = 6 - 2√17/2.
⇒ β = 2(3 - √17)/2.
⇒ β = 3 - √17.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
Similar questions