Answer:
x^2-4x+<u>4</u>=(<u>x-2</u>)^2
Step-by-step explanation:
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The total length of the fencing is 248 ft; we call this the "perimeter" of the garden. Since P = 2W + 2L in general, here:
P = 248 ft = 2W + 2(W+6), or 248 ft = 4W + 12.
Subtracting 12 from both sides of this equation: 236 ft = 4W. Then W = 59 ft, which means that L = 65 ft.
104. 54+50. 6 times 9 equals 54. Ten times 5 equals 50.
Answer: x = 2 ; -11 .
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Explanation:
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Given the equation:
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x² + 9x −<span> 22 = 0 ; Solve for: "x" ;
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Let us factor the "left-hand side" of the equation:
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"x</span>² + 9x −<span> 22" ;
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What are the factors of "-22"" that add up to "positive 9" ?
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Let us list the factors of "-22" :
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-2, 11; </span>→ -2 + 11 = 9 ;<span>
-11, 2; </span>→ -11 + 2 = -9 ;<span>
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So we have: "-2" and "11" ;
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So; </span> "x² + 9x − 22" ; factors into " (x−2)(x + 11)" ;
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We have: (x−2)(x + 11) = 0 ;
So: x − 2 = 0 ;
Add "2" to each side of the equation;
x − 2 + 2 = 0 + 2 ;
x = 2 ;
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x + 11 = 0 ;
Subtract "11" from each side of the equation;
x + 11 − 11 = 0 − 11 ;
x = -11 ;
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Answer: x = 2 ; -11 .
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