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If (y=x^2) is put in (x^4-20x^2+64=0), which equation is obtained?

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Answer and explanation

Correct answer: (y^2-20y+64=0)

Since (x^4=(x^2)^2=y^2), the new equation is (y^2-20y+64=0). In exams, use substitution to form a quadratic.

Related tags

QuadraticSubstitutionBiquadratic

Frequently asked questions

What is the correct answer to this question?

(y^2-20y+64=0)

Why is this the correct answer?

Since (x^4=(x^2)^2=y^2), the new equation is (y^2-20y+64=0). In exams, use substitution to form a quadratic.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.

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