Answered

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

Sagot :

Given:

The quadratic equation is

[tex]x^2+1=2x-3[/tex]

To find:

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

Solution:

We have,

[tex]x^2+1=2x-3[/tex]

[tex]x^2+1-2x+3=0[/tex]

[tex]x^2-2x+4=0[/tex]

On comparing with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=1,b=-2,c=4[/tex]

The quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Putting [tex]a=1,b=-2,c=4[/tex], we get

[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex]

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

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