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Andrej [43]
3 years ago
5

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. 4x^2-7x+2=0

Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

Discriminant is 17 and it has 2 real roots.

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

• b^2-4ac>0 yields 2 real roots

• b^2-4ac=0 yields 1 real root

• [tx]b^2-4ac<0[/tex] yields no real roots

4x^2-7x+2=0 where a=4, b=-7, and c=2

b^2-4ac=(-7)^2-4(4)(2)=49-32=17.

It has 2 real roots


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