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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

answer:   y=2x-3

step-by-step explanation: