Compare the roots of the two equations and choose the correct relation. I. $x^{2} = 169$
II. $y^{2} + 27 y + 182 = 0$

Question

Compare the roots of the two equations and choose the correct relation. I. x² = 169 II. y² + 27y + 182 = 0

Accepted Answer

x ≥ y. I: x² = 169 → x = 13, −13. II: (y+13)(y+14) → y = −13, −14. Checking all four pairings, x is never the smaller value, and x = −13 ties with y = −13, so x ≥ y.

Compare the roots of the two equations and choose the correct relation. I. $x^{2} = 169$
II. $y^{2} + 27 y + 182 = 0$

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Quadratic Comparison practice

Compare the roots of the two equations and choose the correct relation. I. x2=169II. y2+27y+182=0

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Quadratic Comparison practice

Compare the roots of the two equations and choose the correct relation. I. $x^{2} = 169$
II. $y^{2} + 27 y + 182 = 0$