Question

How many real number solutions does this equation have? –7x^2 + 6x + 3 = 0

Answer 1

2

Answer 2

Use the abc-formula to get the Discriminant. Because:

Discriminant < 0 = no answers for the equation
Discriminant = 0 : 1 answer to the equation
Discriminant > 0 : 2 answers to the equation

Fill in the a, b and c:
a = -7
b = 6
c = 3

Get the discriminant:
\[Discrimant = b^2-4ac\]
so:
\[6^2-4\times(-7) \times 3 = 36 - (-84) = 36 +84 = 120\]

120 > 0 : so there are two answers!