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Olegator [25]
4 years ago
5

Rewrite the equation by completing the square.x^2 −16x+63=0(x +{ })^2={ }

Mathematics
1 answer:
Elina [12.6K]4 years ago
7 0

Answer:

(x + 4) ^{2} + 47 = 0

Step-by-step explanation:

(x ^{2}  + 4 ^{2} ) - 4 ^{2}  + 63 = 0 \\ (x + 4) ^{2}  + 47 = 0

<em>W</em><em>h</em><em>e</em><em>n</em><em> </em><em>c</em><em>o</em><em>m</em><em>p</em><em>l</em><em>e</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>squares</em><em>,</em><em> </em><em>basing</em><em> </em><em>on</em><em> </em><em>our</em><em> </em><em>equation</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>question</em><em>:</em>

  • <em>First</em><em> </em><em>square</em><em> </em><em>the</em><em> </em><em>half</em><em> </em><em>of</em><em> </em><em>1</em><em>6</em><em> </em><em>e</em><em>.</em><em>g</em><em> </em><em>(</em><em>1</em><em>6</em><em>÷</em><em>2</em><em>)</em><em>^</em><em>2</em><em> </em><em>=</em><em> </em><em>4</em><em>^</em><em>2</em>

  • <em>Add</em><em> </em><em>the</em><em> </em><em>result</em><em> </em><em>to</em><em> </em><em>x^2</em><em> </em><em>and</em><em> </em><em>subtract</em><em> </em><em>it</em><em> </em><em>with</em><em> </em><em>6</em><em>3</em><em> </em><em>e</em><em>.</em><em>g</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em>
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An intercepted arc measures twice the intercepted angle. Here, the intercepted angle is ∠PSR. Hence:
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