Answer:
×< -5
Step-by-step explanation:
-6x>30 reverse the sign
x< -5
Answer:
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.
Step 1: x2 +4x= 6
Step 2: x2 +4x+4=6+4
Step 3: (x +2)^2=10
What are the next 3 steps?
we have
step 4
Take square root both sides
step 5
Simplify
step 6
Solve for x
subtract 2 both sides
Answer:
A
C
D
Step-by-step explanation:
Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
