1 Answer

Tastyminerals · Answer 1 · 2023-05-27T15:02:29+0000

When we take a look at x² - 8x + 16 = -21

x² - 8x + 16 + 21 = 0

x² - 8x + 37 =0

Using quadratic formula

$x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

a = 1 b =-8 c = 37

substitute the values into the quadratic formula

$x=\frac{8\pm\sqrt[]{64-148}}{2}$
$x=(8)/(2)\pm\frac{\sqrt[]{84}i}{2}$
$x=4\pm4.58i$

Hence, option A has a real component of 4

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