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You gave a quadratic expression, not equation. Assuming you mean:
2x - 48 - x^2 = 0
Rearrange into standard form ax^2 + bx + c = 0:
-x^2 + 2x - 48 =0
You could directly apply the quadratic formula with a = -1, b = 2, c = -48; or you could multiply by -1 first, giving:
x^2 - 2x + 48 = 0
Then a = 1, b = -2, c = 48; it turns out that there are no real roots -- it has only complex roots, which are:
x = (1 + i√47) and (1 - i√47)
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The solutions of an equation are often called what?
The roots of the equation
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What are the roots of a quadratic equation called?
Either "roots" or "solutions".
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
How is solving a quadratic equation the same as finding its roots?
That is what roots mean!
How many roots does a quadratic equation in one variable have?
A quadratic equation has two roots. They may be similar or dissimilar. As the highest power of a quadratic equation is 2 , there are 2 roots. Similarly, in the cubic equation, the highest power is 3, so it has three equal or unequal roots. So the highest power of an equation is the answer to the no of roots of that particular equation.
What is true about a quadratic equation when the discriminant of the equation is positive?
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
What are the roots of the quadratic equation below?
That depends on the equation.
How many roots does a quadratic equation?
2 roots
The solutions of an equation are often called what?
The roots of the equation
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
What are the roots of a quadratic equation called?
Either "roots" or "solutions".
How many real roots do we have if the polynomial equation is in degree six?
Such an equation has a total of six roots; the number of real roots must needs be even. Thus, depending on the specific equation, the number of real roots may be zero, two, four, or six.
What can the discriminant tell you about a quadratic equation?
It can tell you three things about the quadratic equation:- 1. That the equation has 2 equal roots when the discriminant is equal to zero. 2. That the equation has 2 distinctive roots when the discriminant is greater than zero. £. That the equation has no real roots when the discriminant is less than zero.
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
How is solving a quadratic equation the same as finding its roots?
That is what roots mean!
If the discriminant of an equation is zero What is true of the equation?
That its roots (solutions) are coincident.
