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Margarita [4]
3 years ago
12

The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown. 5x2 + 27x = 14 −

13x 5x2 + 40x = 14 5(x2 + 8x) = 14 Which is the best step to do next to solve the equation by completing the square:
5(x2 + 8x + 16) = 30
5(x2 + 8x + 16) = 94
5(x2 + 8x + 4) = 18
5(x2 + 8x + 4) = 34
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0
5(x^2+8x)=14
5(x^2+8x+16)=5(x^2+8x)+5*16=5(x^2+8x)+80=14+80=94
The corect answer is the second
g100num [7]3 years ago
6 0

we have

5x^{2} +27x=14-13x

Group terms that contain the same variable, and move the constant to the opposite side of the equation

5x^{2} +27x+13x=14

5x^{2} +40x=14

Factor the leading coefficient

5(x^{2} +8x)=14

Complete the square. Remember to balance the equation by adding the same constants to each side.

5(x^{2} +8x+4^{2})=14+5(4^{2})

5(x^{2} +8x+16)=14+80

5(x^{2} +8x+16)=94

therefore

<u>the answer is the option</u>

5(x^{2} +8x+16)=94

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