What is the sum of the roots of the equation \(2x^2+3x-5=0\)?
Answer and explanation
Correct answer: \(-\frac{3}{2}\)
For a quadratic equation \(ax^2+bx+c=0\), the sum of its roots is \(-\frac{b}{a}\). In the given equation, \(a=2\) and \(b=3\), so the sum is \(-\frac{3}{2}\). Option B misses the negative sign, while options C and D incorrectly use the constant term instead of the coefficient of \(x\). In an exam, apply the sum-of-roots formula \(-b/a\) directly.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{3}{2}\)
Why is this the correct answer?
For a quadratic equation \(ax^2+bx+c=0\), the sum of its roots is \(-\frac{b}{a}\). In the given equation, \(a=2\) and \(b=3\), so the sum is \(-\frac{3}{2}\). Option B misses the negative sign, while options C and D incorrectly use the constant term instead of the coefficient of \(x\). In an exam, apply the sum-of-roots formula \(-b/a\) directly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.
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