SOLUTION: for the following equation, state the value of the discriminant and then describe the nature of the solutions: 10x^2 - 4x

SOLUTION: for the following equation, state the value of the discriminant and then describe the nature of the solutions: 10x^2 - 4x - 7 = 0

Question 462416: for the following equation, state the value of the discriminant and then describe the nature of the solutions: 10x^2 - 4x - 7 = 0
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
The discriminant is b� - 4ac

If b� - 4ac = 0, there is one real number solution
If b� - 4ac < 0, there are two imaginary number solutions
If b� - 4ac > 0, there are two real number solutions

10x� - 4x - 7 = 0
a = 10, b = -4, and c = -7

b� - 4ac
= (-4)� - 4(10)(-7) {substituted values into the discriminant}
= 16 + 280 {multiplied}
= 296 {added}

296 > 0, there are two real number solutions
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