Question

Frame the quadratic equation 4 and 7​

Answer 1

The standard quadratic equation using the given set of solutions {−4,7} is y=x2−3x−28 y = x 2 - 3 x - 28 .

Answer 2

The quadratic equation will be$x^2 -11x +28 =0$

Step-by-step explanation:

To frame the quadratic equation using the solutions as 4 and 7, we can go in the reverse order of finding the solution.

• Let x =  4, and x = 7

• Then solutions can be written as $(x-4)$ and $(x-7)$

• Now, taking the product of the two terms and equating to zero

$(x-4)(x-7)=0$

• On multiplication, we obtain,

$x^2-7x-4x+28 = 0$

$x^2 -11x +28 =0$

• Hence, the desired quadratic equation is $x^2 -11x +28 =0$