Respuesta :

Answer:

x=2 or x=9

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2−8x+14=3x−4

Step 1: Subtract 3x-4 from both sides.

x^2−8x+14−(3x−4)=3x−4−(3x−4)

x^2−11x+18=0

Step 2: Factor left side of equation.

(x−2)(x−9)=0

Step 3: Set factors equal to 0.

x−2=0 or x−9=0

x=2 or x=9

starlipika

x^2 -8x +14 = 3x -4

subtract 3x on both sides

x^2 -11x +14 = -4

add 4 on both sides

x^2 -11x +18 = 0

factorise

(x-9)(x-2)

x - 9 = 0

x - 2 = 0

therefore the solutions are:

x=2

x=9

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