plz can anybody ans my question.
Answers
Answer : REQUIRED QUADRATIC EQUATION,
x2 - 6x + 11 = 0.
Explanation :
Given:
Given:x^2 - 2x + 3 = 0
Let the roots be α and β
Let the roots be α and βIf we consider the roots of required equation at A, B
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3α + β = 2
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3α + β = 2Re plating α, β by x and A, B by x.
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3α + β = 2Re plating α, β by x and A, B by x.x = x - 2
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3α + β = 2Re plating α, β by x and A, B by x.x = x - 2In equation:,
Let the roots be α and βIf we consider the roots of required equation at A, BA = α + 2, B = β +2 We know,αβ = 3α + β = 2Re plating α, β by x and A, B by x.x = x - 2In equation:,(α−2)2 −2(α−2)+3=0
2 −2(α−2)+3=0x2 +4−4x−2x+4+3=0
+4−4x−2x+4+3=0x2 −6x+11=0
+4−4x−2x+4+3=0x2 −6x+11=0Required equation.
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