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creativ13 [48]
3 years ago
11

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

Mathematics
2 answers:
alisha [4.7K]3 years ago
5 0

\Delta=5^2-4\cdot1\cdot7=25-28=-3

\Delta so 0 solutions.

DaniilM [7]3 years ago
4 0

Answer:

No Real roots to this Quadratic Equation

Step-by-step explanation:

Our Quadratic equation is given as

x^2+5x+7=0

In order to find that do we have the real roots of a quadratic equation , the Discriminant must be greater or equal to 0. The Discriminant is denoted by D and given by the formula

D= b^2-4ac

Where b is the coefficient of the middle term containing x, a is the coefficient of the term containing x^{2} and the c is the constant term.

Hence we have

a = 1 , b = 5 and c = 7

Calculate D

D=b^2-4ac\\D=5^2-4*1*7\\D=25-28\\D=-3

Hence we see that the Discriminant (D) is less than 0, our answer is no real roots to this quadratic equation.

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I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:

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