solve using the quadratic equation-imaginary roots x^2-10x+34
use the quadratic formula
Step 1 : Simplify x2+10x + 34
@eHoaX yea iknow i got to the part of \[110 \pm \sqrt{-116}\div 2\]
sqrt of a negative turns into an i for imaginary then you proceed as normal
\[(-b+/-\sqrt{(b)^2-4ac})/(2a)\]
wait using quadratic formula here omg !
\[\frac{ 10+/-\sqrt{100-136} }{ 2 }\]
i think either way works @Shay17
Solving x2+10x+34 = 0 by the Quadratic Formula . According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by : - B ± √ B2-4AC x = ———————— 2A
\[\frac{ 10+/-\sqrt{-36} }{ 2 }\]
\[\frac{ 10+/-6i }{ 2 }\]
A = 1 B = 10 C = 34 B2 - 4AC = 100 - 136 = -36
\[5+3i, 5-3i\]
Applying the quadratic formula : -10 ± √ -36 x = —————— 2
any more help @a$apkillah
√ -36 = √ 36 • (-1) = √ 36 • √ -1 = ± √ 36 • i Can √ 36 be simplified ?
Yes so .. √ 36 = √ 2•2•3•3 =2•3•√ 1 = ± 6 • √ 1 = ± 6
okay im good i think i understand i messed up thats why thanks @Shay17 and @eHoaX
So now we are looking at x = ( -10 ± 6i ) / 2 x =(-10+√-36)/2=-5+3i= -5.0000+3.0000i or x =(-10-√-36)/2=-5-3i= -5.0000-3.0000i
Yw ..
ima give u a medal @Shay17 and then can u give @eHoaX one so its een since u guys both helped
even*
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