Mathematics, 31.01.2020 06:01 aletadaboss
Complete the square to solve the equation below. x^2 + 2x - 14 = 10 a. x = 5; x = -4 b. x = -1; x = 4 c. x = -1; x = 3 d. x = -6; x = 4
Answers: 3
![x^2+2x-14=10\\\\\Rightarrow x^2+2x=10+14\\\\\Rightarrow x^2+2\times x\times1+1^2=24+1^2\\\\\Rightarrow (x+1)^2=24+1\\\\\Rightarrow (x+1)^2=25\\\\\Rightarrow x+1=\pm\sqrt{25}~~~~~~~~~~~~~~~~~~~~~~~~~~~~`[\textup{taking square root on both sides}]\\\\\Rightarrow x+1=\pm5\\\\\Rightarrow x=-1\pm5\\\\\Rightarrow x=-1+5,~-1-5\\\\\Rightarrow x=4,~-6.](/tpl/images/0488/7266/eafdc.png)
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Complete the square to solve the equation below. x^2 + 2x - 14 = 10 a. x = 5; x = -4 b. x = -1; x...
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