What is the sum of the squares of the roots of the equation x^{2} + 2x - 143 = 0?

- 170
- 180
- 190
- 290

**Solution**

Let the roots be α and β. So, sum of squares of roots = α^{2} + β^{2}

Sum of roots = α + β = -b/a = -2

Product of roots = αβ = c/a = -143

α^{2} + β^{2} = (α + β)^{2} - 2αβ

= (-2)^{2} - (-143) = 290

**The correct option is D.**