If (p(x)=35+7x) and (q(x)=10x-4), when will (p(x)) and (q(x)) be equal?
Answer and explanation
Correct answer: \(x=13\)
For equality, set \(p(x)=q(x)\): \(35+7x=10x-4\). Subtracting \(7x\) from both sides gives \(35=3x-4\). Adding 4 gives \(39=3x\), so \(x=13\). Hence, option C is correct. At \(x=12\), the values of the two polynomials are not equal. Exam tip: after equating two linear expressions, collect the \(x\)-terms on one side and constants on the other.
Frequently asked questions
What is the correct answer to this question?
\(x=13\)
Why is this the correct answer?
For equality, set \(p(x)=q(x)\): \(35+7x=10x-4\). Subtracting \(7x\) from both sides gives \(35=3x-4\). Adding 4 gives \(39=3x\), so \(x=13\). Hence, option C is correct. At \(x=12\), the values of the two polynomials are not equal. Exam tip: after equating two linear expressions, collect the \(x\)-terms on one side and constants on the other.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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