Mathematics: Which expression correctly sets up the quadratic formula with x^2+1=2x-3

46Step-by-step explanation:n-7=53n=53-7n=46...

Which expression correctly sets up the quadratic

aangishah8452

18.03.2022

Given:

The quadratic equation is

x^2+1=2x-3

To find:

The expression that correctly sets up the quadratic formula with the given equation.

Solution:

We have,

x^2+1=2x-3

x^2+1-2x+3=0

x^2-2x+4=0

On comparing with ax^2+bx+c=0 , we get

a=1,b=-2,c=4

The quadratic formula is

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Putting a=1,b=-2,c=4 , we get

$x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}$

Therefore, the required expression is $\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}$ .

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kaytek1

03.05.2021

Step-by-step explanation:

n-7=53

n=53-7

n=46

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