Question

1.
Solve the quadratic equation using quadratic formula :

x2 – 7x + 12 = 0​

Answer 1

Explanation:

The quadratic formula is

`x=(-b+/-√(b^2-4ac) )/(2a)`

For us, a = 1, b = -7, and c = 12. Filling in the formula then looks like this:

`x=(7+/-√((-7)^2-4(1)(12)) )/(2(1))` which simplifies to

`x=(7+/-√(49-48) )/(2)` and

`x=(7+/-√(1) )/(2)` and

`x=(7+1)/(2)=(8)/(2)=4` or

`x=(7-1)/(2)=(6)/(2)=3`

Th 22 solutions are x = 3 and x = 4.