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What is the value of the variable if

the trinomial 3x^2-x+1 and the trinomial 2x^2+5x-4 have the same value?

1 Answer

5 votes

Answer:

x = 1 or 5

Explanation:

You want the value(s) of x that make 3x^2-x+1 and 2x^2+5x-4 have the same value.

Equation

Equating their values, we have ...

3x² -x +1 = 2x² +5x -4

x² -6x +5 = 0 . . . . . . . . . subtract (2x²+5x-4)

(x -5)(x -1) = 0 . . . . . . . factor

x = 1 or x = 5 . . . . . . values of x that make the factors zero

The two trinomials will have the same value for x=1 and for x=5.

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Additional comment

The attached graph shows the points where the trinomials have the same value.

What is the value of the variable if the trinomial 3x^2-x+1 and the trinomial 2x^2+5x-example-1
User NetanelRabinowitz
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