Question

solve the equation by completing the square. Round to the nearest hundredth if necessary.

4. x^2 + 9x – 14= 0 (1 point)
10.35, 1.35
10.35, –1.35
–10.35, –1.35
–10.35, 1.35

Answer 1

same idea.. use the quadratic formula & solve!!

Answer 2

its the last one!!

Answer 3

a=1; b=9; c=-14

Answer 4

\[-9\pm \sqrt{137}/2\]

Answer 5

To complete the square take one half of the b value.

Which gives you 9/2

Now square it to get 81/4

Which gives us \[x ^{2}+9x+81/4-81/4+14=0\]
Rearrange

\[(x+9/2)^{2}=14+81/4\]

Which now gives us

\[(x+9/2)^{2}=56/4+81/4\]
Which becomes
\[(x+9/2)^{2}=137/4\]
\[x+9/2=\pm \sqrt{137/4}\]\[x=-9/2\pm 1/2\sqrt{137}\]