<span> C,,,,,30 students selected from his class rosters</span>
<span><span> x2-15=0</span> </span>Two solutions were found : <span> x = ± √<span>15 </span>= ± 3.8730</span>
Step by step solution :<span>Step 1 :</span>Trying to factor as a Difference of Squares :
<span> 1.1 </span> Factoring: <span> x2-15</span>
Theory : A difference of two perfect squares, <span> A2 - B2 </span>can be factored into <span> (A+B) • (A-B)
</span>Proof :<span> (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 <span>- AB + AB </span>- B2 =
<span> A2 - B2</span>
</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication.
Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.
Check : 15 is not a square !!
Ruling :<span> Binomial can not be factored as the difference of two perfect squares.
</span>
<span>Equation at the end of step 1 :</span><span> x2 - 15 = 0
</span><span>Step 2 :</span>Solving a Single Variable Equation :
<span> 2.1 </span> Solve : <span> x2-15 = 0</span><span>
</span>Add 15 to both sides of the equation :<span>
</span> <span> x2 = 15</span>
<span>
</span>When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get: <span>
</span> x = <span> ± √<span> 15 </span></span><span>
</span>The equation has <span>two real solutions <span>
</span></span>These solutions are <span> x = ± √<span>15 </span>= ± 3.8730 </span><span>
</span>
Two solutions were found : <span> x = ± √<span>15 </span>= ± 3.8730</span>
12c-4=14c-10
+4 +4
12c=14c-6
-14 -14
-2c=-6
/-2 /-2
c=3
Area=legnth times width
legnth=16 ft
width=3 ft
but wait, they want the area in squazre METERS
so convert feet to meters
1 foot=0.3048 meters
convert 16 feet and 3 feet to meters
16 feet=16 times 0.3048=4.8768
3 feet=3 times 0.3048=0.9144
so the area is now
legnth=4.8768 m
width=0.9144m
area=4.8768 m times 0.9144 m=4.45934592
round
4.0
answer is 4 square METERS
4 m^2