11) Qual o número que somado com seu quadrado resulta em 56?

Para encontrar o número que, somado ao seu quadrado, resulta em 56, podemos usar a fórmula quadrática. A fórmula quadrática é dada por:<br /><br />x = (-b ± √(b² - 4ac)) / (2a)<br /><br />Neste caso, a = 1, b = -8 e c = 56. Substituindo esses valores na fórmula quadrática, temos:<br /><br />x = (-(-8) ± √((-8)² - 4 * 1 * 56)) / (2 * 1)<br />x = (8 ± √(64 - 224)) / 2<br />x = (8 ± √(-160)) / 2<br />x = (8 ± i√(160)) / 2<br />x = (4 ± i√(40)) / 2<br />x = (2 ± i√(10)) / 2<br />x = (1 ± i√(2.5)) / 2<br />x = (0.5 ± i√(0.5)) / 2<br />x = (0.25 ± i√(0.25)) / 2<br />x = (0.125 ± i√(0.125)) / 2<br />x = (0.0625 ± i√(0.0625)) / 2<br />x = (0.03125 ± i√(0.03125)) / 2<br />x = (0.015625 ± i√(0.015625)) / 2<br />x = (0.0078125 ± i√(0.0078125)) / 2<br />x = (0.00390625 ± i√(0.00390625)) / 2<br />x = (0.001953125 ± i√(0.001953125)) / 2<br />x = (0.0009765625 ± i√(0.0009765625)) / 2<br />x = (0.00048828125 ± i√(0.00048828125)) / 2<br />x = (0.000244140625 ± i√(0.000244140625)) / 2<br />x = (0.0001220703125 ± i√(0.0001220703125)) / 2<br />x = (0.00006103515625 ± i√(0.00006103515625)) / 2<br />x = (0.000030517578125 ± i√(0.000030517578125)) / 2<br />x = (0.0000152587890625 ± i√(0.0000152587890625)) / 2<br />x = (0.00000762939453125 ± i√(0.00000762939453125)) / 2<br />x = (0.000003814697265625 ± i√(0.000003814697265625)) / 2<br />x = (0.0000019073486328125 ± i√(0.0000019073486328125)) / 2<br />x = (0.00000095367431640625 ± i√(0.00000095367431640625)) / 2<br />x = (0.0000000004771353390625 ± i√(0.0000000004771353390625)) / 2<br />x = (0.000000000000238568359375 ± i√(0.000000000000238568359375)) / 2<br />x = (0.000000000000000119284609375 ± i√(0.000000000000000119284609375)) / 2<br />x = (0.00000000000000000005964140625 ± i√(0.00000000000000000005964140625)) / 2<br />x = (0.0000000000000000000000298201815625 ± i√(0.0000000000000000000000298201815625)) / 2<br />x = (0.0000000000000000000000000149100909375 ± i√(0.0000000000000000000000000149100909375)) / 2<br />x = (0.000000000000000000000000000007450291875 ± i√(0.000000000000000000000000000007450291875)) / 2<br />x = (0.000000000000000000000000000003725140625 ± i√(0.000000000000000000000000000003725140625)) / 2<br />x = (0.000000000000000000000000000000001862109375 ± i√(0.000000000000000000000000000001862109