22-04-2014
Mathematics

Answered

What are the solutions to the equation x2 + 6 = 87? A. –9 and 9 B. –10 and 10 C. –6 and 6 D. The equation has no solutions.

Verified Answer :

23-04-2014

\(x^2 + 6 = 87 \ \ | -87\\ \\x^2 + 6 -87 = 0 \\ \\ x^2 -81 = 0 \\ \\(x+9)(x-9)=0 \\ \\ x+9 =0 \ \ \vee \ \ x-9 =0 \\ \\ x= -9 \ \ \vee \ \ x= 9 \\ \\\\Answer : \ A.) \ \ -9 \ \ and \ \ 9\)

\(a^2 - b^ 2 =(a-b)(a+b)\)

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