Given: y²+5y
Converting y²+5y in the form: x²+2ax+a²
Here 2a=5 or a=5/2
Add and subtract (5/2)²
y²+5y+(5/2)²-(5/2)²
Complete the square.
(y+5/2)²-(5/2)²
Simplify
(y+5/2)² - 25/4
Answer: (y+5/2)² - 25/4
<span>We see the numbers on a number line
_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<______________________________|_________>
9 3
</span><span>You need to add both distances
</span><span>
|-9| + 3 = 9 + 3 = 12
</span><span>half
</span><span>12 : 2 = 6
</span><span>Now , we measure the distance towards the center section
</span><span>1 way
-9 + 6 = -3
2 way
3 - 6 = -3
Answere : -3
</span>_____|___|___|___|___|___|___|___|___|___|___|___|___|____>
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
<___________________|____________________>
<span> 6 6
</span><span>we used the average math
</span>| - 9 | <span>means that the assumed value of -9 9 (positive )</span>
<span>
</span>
I can only assume that you meant, "Solve for x:"
Apply the exponent 3/2 to both sides of this equation. The result will be
3/2
343 = x/6.
Multiplying both sides by 6 isolates x:
3/2
6*343 = x Since 7^3 = 343, the expression for x
can be rewritten as
3/2
6*(7^3) = x which can be further simplified, as follows:
x = 6^(3/2)*7^(9/2), or:
x = 6^(3/2)*7^(8/2)*√7, or
x = 6^(3/2)*7^4*√7
