Which of the following is the correct factorised form for solving the equation \(5x^2-7x-6=0\)?
Answer and explanation
Correct answer: \((5x+3)(x-2)=0\)
Expanding option A gives \((5x+3)(x-2)=5x^2-10x+3x-6=5x^2-7x-6\), so it is the correct factorised form. Option B produces a middle coefficient of \(+7\), while options C and D produce \(+13\) and \(-13\), respectively. In an exam, always expand the factors and compare the result with the original quadratic equation.
Frequently asked questions
What is the correct answer to this question?
\((5x+3)(x-2)=0\)
Why is this the correct answer?
Expanding option A gives \((5x+3)(x-2)=5x^2-10x+3x-6=5x^2-7x-6\), so it is the correct factorised form. Option B produces a middle coefficient of \(+7\), while options C and D produce \(+13\) and \(-13\), respectively. In an exam, always expand the factors and compare the result with the original quadratic equation.
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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