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Question 433328: Use the discriminant to determine how many real-number solutions the equation has.
1 - 7a2 = -7a - 2
Answer by algebrahouse.com(1659)   (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
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