Question

Prove that x^2+2x+8 has no zero

Answer 1

$\huge{ \underline{ \underline{ \purple{ \mathfrak{</u></strong><strong><u>Answer</u></strong><strong><u>}}}}}$

Hey there !!!

____________________

A quadratic equation of the form ax² + bx + c = 0 has no real zeroes when discriminant of equation is < 0

⇒⇒ b² - 4ac < 0

Comparing x² + 2x + 3 = 0 with ax² + bx + c=0

⟹ a=1, b=2, c=3

= b² - 4ac

= 2² - 4×3

⟹ 4 - 12 = -8 < 0

As discriminant is less than zero x² + 2x + 3 = 0 will have no real roots.