Question

Write the quadratic equation in general form. what is the value of b 2 - 4ac? 1 = 2x 2 7x 40 41 57

Answer 1

`2x^2+7x-1= 0`

`b^2-4ac` = 57

Explanation:

The general form of the quadratic equation is:

`ax^2+bx+c = 0` ....[1]

Given the equation:

`1 = 2x^2+7x`

Subtract 1 from both sides we have;

`0= 2x^2+7x-1`

or we can write this as:

`2x^2+7x-1= 0`

We have to find the
`b^2-4ac`

Compare equation
`2x^2+7x-1= 0` with equation [1]

a = 2 , b = 7 and c = -1

then;

`b^2-4ac = (7)^2-4(2)(-1) = 49+8 = 57`

Therefore, the quadratic equation in general form is,
`2x^2+7x-1= 0` and the value of
`b^2-4ac` is, 57