Topics
Further equations
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India
Class IX

Solve Radical Equations

Lesson
Practice

Interactive practice questions

Which of the following best describes a radical equation?

A radical equation is an equation where the variable is inside a radical.

A

A radical equation is an equation that does not have solutions.

B

A radical equation is an equation that has radical solutions.

C

A radical equation is an equation that has radical constants and/or coefficients.

D
Easy
< 1min

Is $3$3 a solution of the equation $\sqrt{x-2}-4=\sqrt{x+6}$√x−2−4=√x+6?

Easy
< 1min

Which would be a correct first step for solving the equation $\left(x+7\right)^{\frac{3}{5}}=3$(x+7)35​=3?

Easy
< 1min
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Outcomes

9.A.P.2

State and motivate the Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorisation of ax^2 + bx + c, a ≠ 0 where a, b, c are real numbers, and of cubic polynomials using the Factor Theorem.

9.A.P.3

Recall of algebraic expressions and identities. Further identities of the type: (x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx, (x ± y)^ 3 = x^3 ± y^3 ± 3xy (x ± y), x^3 + y^3 + z^3 – 3xyz = (x + y + z) (x^2 + y^2 + z^2 – xy – yz – zx) and their use in factorization of polynomials. Simple expressions reducible to these polynomials.

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