Tutor profile: Manasa S.
Subject: Basic Math
.Solve the equation x^3 - 3x^2 = -2 exact and approximate answers.
Cubic Equation: An equation that contains cubic polynomials is called a cubic equation. The most general form of the cubic equation is x^3+px^2+qx+r=0, where p, q, and r are constants. Answer and Explanation: Consider the given equation x^3−3x^2=−2 We re-write the equation as x^3−3x^2+2=0 By inspection, we see that x=1 will satisfy the equation. Therefore, x=1 must be the root of the equation. So, we can write x^3−3x^2+2=(x−1)(x^2−2x−2) Now, using the quadratic formula for the quadratic equation (x^2−2x−2)=0, we get: x=2±√(−2)^2−4(1)(−2)/2=2±√4+8/2=2±√12/2=2±2√3/2=1±√3 Therefore, the roots of the equation are x=1,1 −√3 1 + √ 3 .
Subject: Electrical Engineering
Two-alternators are running in parallel. If the driving force of both the alternators is changed, this will result in change is A. frequency B. back emf C. generated voltage D. all of the above
Option A frequency
Expand and simplify the algebraic expression (x + 3)(x - 3) - (-x - 9)
(x+3) (x-3) - (-x-9) = x^2 - 9 + x + 9= x^2 + x
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