How many real roots does the quadratic equation x 2 4x 4 0 have?

How many real roots does the quadratic equation x 2 4x 4 0 have?

It tells you that there are two identical real roots to the equation.

Which is a solution to the equation x² 4x +4 0?

Therefore, the solution to the equation is x=−2 .

What kind of equation is x² 4x 4 0?

2.3 Solving x2-4x-4 = 0 by the Quadratic Formula .

What is the factor of x² 4x 4?

So the factored form is (x+2)(x+2) or (x+2)2 . Hope this helps!

How do you find two real solutions of an equation?

It is called the Discriminant, because it can “discriminate” between the possible types of answer:

  1. when b2 − 4ac is positive, we get two Real solutions.
  2. when it is zero we get just ONE real solution (both answers are the same)
  3. when it is negative we get a pair of Complex solutions.
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How many solutions does a quadratic equation have?

2 solutions
As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

How many real roots does the equation |X|^2-4|x|+4=0 have?

Originally Answered: The number of real roots of the equation |x|^2-4|x|+4=0 is? The number of real roots is 2: . The number of complex roots is infinite (a circumference) with radius 2 centered at the origin.

How many solutions does the equation ⇒(x+1)2 have?

⇒ (x+1)2 = 0 or no solution . Hence, given equation have only one solution . Was this answer helpful?

How to find the number of real solutions of a discriminant?

1] If the discriminant is positive you’ll have 2 separate real solutions x1 ≠ x2; 2] If the discriminant is equal to zero you’ll have 2 coincident real solutions, x1 = x2 (=two equal numbers…I know it is weird but do not worry);

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What is the value of 3^x + x – 2 = 0?

3^x + x – 2 = 0 is the Equation. Let’s take y as 2. This is our equation. We just need to superimpose both the Graphs. When, X is less than 0 , Value of 3^x is between 0 to 1. Value of X will always be negative. Addition of 3^x + x will always be less than 1.