Question

For the equation \( x^{2} + 2x - 9 = 0 \), what conclusion is drawn about its roots since \( b^{2} - 4ac = 40 \)?

Options

• The equation has only one root

• The roots of the equation are real and equal

• The roots of the equation are real and unequal

• The equation has no real roots

Answer 1

Since \( b^{2} - 4ac = 40 > 0 \), the condition \( D > 0 \) applies. Therefore the roots of the equation are real and unequal.