To solve complete equations of the 2nd degree we will use the Bhaskara formula. From the equation , on what The, B, ç GO and , we will develop step by step the deduction of the Bhaskara formula (or solving formula).
1st step: we will multiply both members by 4The. |
2nd step: pass 4B.C for the 2nd member. |
3rd step: add to both members. |
4th step: factor the 1st element. |
5th step: extract the square root two limbs. |
6th step: pass B to the 2nd member. |
7th step: divide the two members by . |
Thus, we find the solving formula of the 2nd degree equation:
We can represent the two real roots by x 'and x ", like this:
Examples:
Equation Resolution: .
We have
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