Write the quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4.

The quadratic equation whose roots are 4 and 5, and whose leading coefficient is 4 is

Given that, roots of an quadratic equation are 4 and 5.

We have to find the equation of the quadratic equation.

Now, as 4 and 5 are roots, x = 4 and x = 5

Which means x – 4 and x – 5 are factors of the quadratic equation.

Then, equation will be the products of the factors

So, equation is (x - 4)(x - 5) = 0

Upon multiplication we get,

As we are given that, leading coefficient of the equation is 4. So multiply equation with 4

Hence, the quadratic equation is

c is the answer

step-by-step explanation:

explanation:

step-by-step explanation: