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Mars2501 [29]
3 years ago
9

Simply the expression

" title="(3 - 2 \sqrt{k })^{2 } " alt="(3 - 2 \sqrt{k })^{2 } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Liula [17]3 years ago
4 0
9-4 then square root of k to the 2nd power
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The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter
CaHeK987 [17]
X - a leg  (x > 6);
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Use:(a\pm b)^2=a^2\pm2ab+b^2

x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}

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The perimeter:

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