Question

division sintética f(x)=4x²+5x+6​

Answer 1

Explicación paso a paso:

4X

2

+5X−6=0

Primera X

\frac{-5+\sqrt{5^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}

2⋅4

−5+

5

2

−4⋅4(−6)

=\frac{-5+\sqrt{5^2+4\cdot \:4\cdot \:6}}{2\cdot \:4}=

2⋅4

−5+

5

2

+4⋅4⋅6

=\frac{-5+\sqrt{121}}{2\cdot \:4}=

2⋅4

−5+

121

=\frac{-5+\sqrt{121}}{8}=\frac{-5+11}{8}=\frac{6}{8}=\frac{3}{4}=

8

−5+

121

=

8

−5+11

=

8

6

=

4

3

Segunda X

\frac{-5-\sqrt{5^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}

2⋅4

−5−

5

2

−4⋅4(−6)

=\frac{-5-\sqrt{5^2+4\cdot \:4\cdot \:6}}{2\cdot \:4}=

2⋅4

−5−

5

2

+4⋅4⋅6

=\frac{-5-\sqrt{121}}{2\cdot \:4}=

2⋅4

−5−

121

=\frac{-5-\sqrt{121}}{8}=\frac{-5-11}{8}=\frac{-16}{8}=-2=

8

−5−

121

=

8

−5−11

=

8

−16

=−2

Por lo tanto las respuestas son:

X1=\frac{3}{4}

4

3

X2=-2−2