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4) – 2×2 + 6x + 5 = 0 a. nonreal b. real, irrational, and unequal c. real, rational, and equal d. real, rational, an
Question
4) – 2×2 + 6x + 5 = 0
a. nonreal
b. real, irrational, and unequal
c. real, rational, and equal
d. real, rational, and unequal
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Mathematics
3 years
2021-08-15T03:39:55+00:00
2021-08-15T03:39:55+00:00 1 Answers
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Answers ( )
Answer:
b. real, irrational, and unequal
Step-by-step explanation:
Roots of a quadratic equation
The standard representation of a quadratic equation is:
where a,b, and c are constants.
Solving with the quadratic formula:
The argument of the radical is called the discriminant:
The nature of the solutions of the equation depends on the value of d as follows:
We are given the equation:
Here: a=-2, b=6, c=5. The discriminant is:
d = 116
Since d is positive and a non-perfect square, the roots are:
b. real, irrational, and unequal