Question

(x + 2)(2x – 3) – 2x2 +6 /
x-5=2



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Answer 1

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

(x+2)(2x−3)−(2)(2)+

6

x−5

=2

2x2+x−6+−4+

6

x−5

=2

Multiply all terms by x-5 and cancel:

(2x2+x−6)(x−5)+−4(x−5)+6=2(x−5)

2x3−9x2−15x+56=2x−10(Simplify both sides of the equation)

2x3−9x2−15x+56−(2x−10)=2x−10−(2x−10)(Subtract 2x-10 from both sides)

2x3−9x2−17x+66=0

(Use cubic formula)

x=−2.789222,2.43965,4.849572

Check answers. (Plug them in to make sure they work.)

x=4.849572(Works in original equation)

x=−2.789222(Works in original equation)

x=2.43965(Works in original equation)

Answer:

x=4.849572 or x=−2.789222 or x=2.43965

Step-by-step explanation:

Answer 2

answer is

2x 3 +x 2 −15x+6=2x