What are the roots of 2x^2+4x+7? Use the quadratic formula. Show your work

The roots are

Step-by-step explanation:

we have

To find the roots equate the equation to zero

so

we know that

The formula to solve a quadratic equation of the form

is equal to

in this problem we have

so

substitute in the formula

Remember that

so

simplify

therefore

The roots are

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δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)