# SOLUTION: Use the discriminant to determine how many real-number solutions the equation has. 1 - 7a2 = -7a - 2

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 Question 433328: Use the discriminant to determine how many real-number solutions the equation has. 1 - 7a2 = -7a - 2Answer by algebrahouse.com(1079)   (Show Source): You can put this solution on YOUR website!"Use the discriminant to determine how many real-number solutions the equation has. 1 - 7a2 = -7a - 2" Discriminant is b² - 4ac If b² - 4ac > 0, there are two real number solutions If b² - 4ac = 0, there is one real number solution If b² - 4ac < 0, there are two imaginary number solutions 1 - 7a² = -7a - 2 7a² - 7a - 3 = 0 {added 7a² and subtracted 1 from both sides} a = 7, b = -7, c = -3 b² - 4ac = (-7)² - 4(7)(-3) = 49 + 84 = 133 133 > 0,there are two real number solutions www.algebrahouse.com