could you help me with this problem please
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1. Using the quadratic formula
[tex]x=(-b\pm\sqrt{b^{2}-4ac})/2a[/tex]
[tex]x=(-4\pm\sqrt{16-64} )/2[/tex]
[tex]x=[-4\pm(-4\sqrt{3}i)]/2\\x=-2\pm2\sqrt{3}i[/tex]
-Hunter
Answer:
[tex]x = -2 \pm 2i\sqrt{3}}[/tex]
Explanation:
given quadratic sample: x²+4x+16=0
Quadratic formula: [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Here a = 1, b = 4, c = 16 [ which are coefficients from ax²+bx+c ]
using the formula:
→ [tex]x = \frac{ -4 \pm \sqrt{4^2 - 4*1*16}}{2*1}[/tex]
→ [tex]x = \frac{ -4 \pm \sqrt{-48}}{2}[/tex]
→ [tex]x = \frac{ -4 \pm 4i\sqrt{3}}{2}[/tex]
→ [tex]x = -2 \pm 2i\sqrt{3}}[/tex]