Question

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Find the solutions to the following quadratic equations. Leave exact answer.

2x^2 - 10 = 182

x^2 - 24x+ 144 = 49

Answer 1

2)
${x}^{2} - 24x + 144 = 49 \\ {x}^{2} - 24x + 144 - 49 = 0 \\ {x}^{2} - 24x + 95 = 0 \\ {x}^{2} -19x - 5x + 95 = 0 \\ x(x - 19) - 5(x - 19) = 0 \\ (x - 5)(x - 19) = 0$

zeros of second polynomial will be..
(i) 5
(ii) 19