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x2 + 2x - 7 is a quadratic polynomial. Every polynomial defines a function called P. Any value of x for which P(x) = 0 is a root of the equation and a zero of the function.
x2 + 2x - 7 = 0 add 1 and 7 to both sides
x2 + 2x + 1 = 8
(x + 1)2 = 8 take the square root of both sides
x + 1 = ± √8 subtract 1 to both sides
x = -1 ± 2√2
Thus, the roots of the equation are -1 - 2√2 and -1 + 2√2.
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∙ 11y ago
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