How do you find the roots of two equations?

The roots of any quadratic equation is given by: x = [-b +/- sqrt(-b^2 – 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.

How do you factor 3x 2 4x 4?

1 Answer

1. =3x(x+2)−2(x+2)
2. =(3x−2)(x+2)
3. (3x−2)(x+2) is the factorised form of the equation.

What is the sum of the roots of quadratic equation?

For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials.

Which of the following has no real roots x2 4x 3 Root 2 0?

Hence x2-4x+3√2=0 has no real roots.

What is the sum of the roots of the quadratic equation?

For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a.

What is the sum of the roots of 4 + 2?

There are a few ways to approach this kind of problem, you could create two binomials (x-4) and (x-2) and multiply them. However, since this page focuses using our formulas, let’s use them to answer this equation. Sum of the roots = 4 + 2 = 6.

What is the sum of the roots of x2 + 5x + 6?

The example below illustrates how this formula applies to the quadratic equation x 2 + 5 x + 6 . As you, can see the sum of the roots is indeed − b a and the product of the roots is c a .

How do you find the sum and product of roots?

The formulas. sum of roots: − b a. product of roots: c a. As you can see from the work below, when you are trying to solve a quadratic equations in the form of a x 2 + b x + c. The sum and product of the roots can be rewritten using the two formulas above. Example 1.