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VashaNatasha [74]
3 years ago
5

Solve for d. 12−34(d+16)=−5

Mathematics
2 answers:
kap26 [50]3 years ago
6 0

12−34(d+16)=−5

12−34(d+16)-12=−5-12

−34(d+16)=−17

−34(d+16)/-37=−17/-37

d+16=0.5

d+16-16=0.5-16

d=-15.5



PilotLPTM [1.2K]3 years ago
5 0
12-34d+544=-5
-34d+556=-5
-34d=-561
D=16.5
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Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
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Follow the above procedure will give the vertex form.

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