What are the roots of the quadratic equation \(5x^2-7x-6=0\)?
Answer and explanation
Correct answer: \(x=2,\,-\frac{3}{5}\)
The quadratic factors as \(5x^2-7x-6=(5x+3)(x-2)\). Thus, \((5x+3)(x-2)=0\) gives \(x=-\frac{3}{5}\) or \(x=2\), so option A is correct. In option B, the signs of both roots are incorrect. Exam tip: when setting each factor equal to zero, remember to change the sign while solving for the root.
Frequently asked questions
What is the correct answer to this question?
\(x=2,\,-\frac{3}{5}\)
Why is this the correct answer?
The quadratic factors as \(5x^2-7x-6=(5x+3)(x-2)\). Thus, \((5x+3)(x-2)=0\) gives \(x=-\frac{3}{5}\) or \(x=2\), so option A is correct. In option B, the signs of both roots are incorrect. Exam tip: when setting each factor equal to zero, remember to change the sign while solving for the root.
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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