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x^2 + 2x - 10

Does not factor

So apply the Quadratic Eq'n

x = [ -2 +/- sqrt[(2^2) - 4(1)(-10)]}/ 2(1)

x = { -2 +/- sqrt[4 + 40]} / 2

x = { -2 +/- sqrt(44]}/ 2

x = { - 2 +/- 6.6332...} / 2

x = -8.6332... / 2 = -4.3166....

&

x = 4.6332... / 2 = 2.3166...

Hencevthere are two answers.

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lenpollock

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Q: How many solutions does this quadratic equation have x2-2x plus 10?
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