# 2018 Question Paper Solution | Question 1

###### CBSE Class 10 Maths | 1 Mark Questions | Section A | Quadratic Equations

This is an easy 1-mark question from the chapter Quadratic Equations. Concept tested: Significance of the root of a quadratic equation.

Question 1: If x = 3 is one root of the quadratic equation x2 – 2kx – 6 = 0, then find the value of k.

## NCERT Solution to Class 10 Maths

### Explanatory Answer | Q1 2018 Board Paper

x = 3 is one root of x2 - 2kx - 6 = 0
Because 3 is one of the roots of the equation, substituting x= 3 will satisfy the equation.
32 - 2 × k × 3 - 6 = 0
9 - 6k - 6 = 0
6k = 3 or k = $\frac{3}{6}$ = $\frac{1}{2}$

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