daniel-piper
daniel-piper
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Quick solution: x=12 or x=-9 For worked solution observe below: sqrt(16-x) + sqrt(x+13) = 7 square each side (16-x) + (x+13) + 2*sqrt(16-x)*sqrt(x+13) = 49 simplify 29 + 2*sqrt((16-x)*(x+13)) = 49 simplify sqrt((16-x)*(x+13)) = (49-29)/2 = 1…
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Quick solution: x=12 or x=-9 For worked solution observe below: sqrt(16-x) + sqrt(x+13) = 7 square each side (16-x) + (x+13) + 2*sqrt(16-x)*sqrt(x+13) = 49 simplify 29 + 2*sqrt((16-x)*(x+13)) = 49 simplify sqrt((16-x)*(x+13)) = (49-29)/2 = 1…
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Quick solution: x=12 or x=-9 For worked solution observe below: sqrt(16-x) + sqrt(x+13) = 7 square each side (16-x) + (x+13) + 2*sqrt(16-x)*sqrt(x+13) = 49 simplify 29 + 2*sqrt((16-x)*(x+13)) = 49 simplify sqrt((16-x)*(x+13)) = (49-29)/2 = 1…