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 Explain the four-steps for solving quadratic equations. Can any of these steps be...

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yissy | Student, College Freshman | (Level 1) Honors

Posted December 17, 2012 at 4:29 PM via web

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 Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? 

Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted December 17, 2012 at 5:56 PM (Answer #1)

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You should perform the following steps when you need to solve the quadratic equation `ax^2 + bx + c = 0` , such that:

- identification of values of coefficients a,b,c

- check if `Delta = b^2 - 4ac >= 0`   or `Delta < 0`  to determine if the roots `x_1`  and `x_2`  are real or complex conjugate

- substitution of the values of coefficients a,b,c in quadratic formula `x_(1,2) = (-b+-sqrtDelta)/(2a) `

Hence, performing the steps above, you may evaluate the roots of quadratic equation `ax^2 + bx + c = 0, x_(1,2) = (-b+-sqrt(b^2-4ac))/(2a).`

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