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Determine the number of roots the equation x^2+14x=-49 using the discriminant.
Question
Determine the number of roots the equation x^2+14x=-49 using the discriminant.
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Mathematics
6 months
2021-07-15T02:52:45+00:00
2021-07-15T02:52:45+00:00 2 Answers
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The quadratic formula is used to find the roots or zeroes of a quadratic equation. It is:
The discriminant helps us find the number of roots. If the discriminant is…
It is the expression under the square root symbol:
First, we must put the given quadratic equation into standard form, which is:
The equation given is
. We have to move the -49 to the left side. Since it is a negative number, we add 49 to both sides.
Now we can solve for the discriminant because we know that:
Substitute these values into the formula for the discriminant.
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve the exponent.
Multiply 4, 1, and 49.
Subtract.
The discriminant is zero, so the quadratic equation x²+ 14x = -49 has 1 real root.