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What are the solutions of 2x2 - 6x + 5 = 0 ?

What are the solutions of 2x2 - 6x + 5 = 0 ?-example-1

1 Answer

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Answer:

x =(6+√-4)/4=(3+i)/2= 1.5000+0.5000i

Explanation:

Equation at the end of step 1 :

(2x2 - 6x) + 5 = 0

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2-6x+5

The first term is, 2x2 its coefficient is 2 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 2 • 5 = 10

Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is -6 .

-10 + -1 = -11

-5 + -2 = -7

-2 + -5 = -7

-1 + -10 = -11

1 + 10 = 11

2 + 5 = 7

5 + 2 = 7

10 + 1 = 11

It's a lot i know but if it is wrong i'm very sorry please don't come at me wrong!

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