Question

State the nature of the given quadratic equation $(x+4{)}^2+8x=0$

• A. Real and Distinct Roots
• B. Real and equal roots
• C. Imaginary roots
• D. None of the above

Answer 1

Answer: (A)

Real and Distinct Roots

$(x+4{)}^2+8x=0$
$x^2+8x+16+8x=0$
$x^2+16x+16=0$
D$=(16{)}^2-(4\left)\right(1\left)\right(16)$
$=256-72$
$=184$
$D>0$

Therefore, the given equation has real and distinct roots.