Determine the number of roots the equation x^2+14x=-49 using the discriminant.

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Determine the number of roots the equation x^2+14x=-49 using the discriminant.

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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.