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How many and what type of solutions does 7x^2−4x+3 have?

1. 1 rational solution
2. 2 rational solutions
3. 2 irrational solutions
4. 2 nonreal solutions

1 Answer

1 vote

Answer:

4. 2 nonreal solutions.

Explanation:

We need to use discriminant,

for ax²+bx+c=0

The discriminat is b²-4ac

If the discriminant is,

→ less than 0, then 0 real solutions

→ equal to 0, then 1 real solutions

→ more than 0, then 2 real solutions

Given that,

7x²-4x+3=0

a=7, b=-4, and c=3

→ (-4)²-4(7)(3)

→ 16-84

→ -68

You can see this is less than 0, then non real solutions. [2 nonreal solutions]

User Vincent Rolea
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