Answer:
(x - 5i)(x + 5i)
Step-by-step explanation:
Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.
Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).
Then x = ±5i.
In factored form, the given expression is (x - 5i)(x + 5i).
Answer:

Step-by-step explanation:
<u>Step 1: Add 4 to both sides
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Answer: 
Answer:
160 miles
Step-by-step explanation:
Distance = speed × time
Speed 1 = 40miles/hr , speed 2 = 50 miles/hr
Time 1 = 3 hrs, time 2 = 4 hrs
Distance 1 = speed 1 × time 1
= 40× 3 = 120 miles
Distance 2 = speed 2 × time 2
= 50 × 4 = 200 miles
Average distance = (distance 1+distance 2 ) ÷ 2
Distance = (200+120) ÷ 2 = 320 ÷2
= 160 miles
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Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
You factor this out. So x+2x^(1/2)-63. Factors into (x^(1/2)+9)(x^(1/2)-7). If you distribute it, you can see it gives you your original equation