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olga_2 [115]
3 years ago
11

Quadratic equations solve x^2-7X-34=10

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0
   
\displaystyle\\  
x^2 - 7x - 34 = 10\\\\
x^2 - 7x - 34 -10=0\\\\
x^2 - 7x - 44 =0\\\\
x_{12}= \frac{-b \pm  \sqrt{b^2-4ac} }{2a}= \frac{7 \pm  \sqrt{7^2-4\cdot1\cdot (-44)} }{2\cdot 1}= \\\\
=\frac{7\pm \sqrt{49+176}}{2}=\frac{7\pm \sqrt{225}}{2}=\frac{7\pm 15}{2}\\\\
x_1 = \frac{7 + 15}{2}=\frac{22}{2} = \boxed{11}\\\\
x_2 =\frac{7 - 15}{2}=\frac{-8}{2} = \boxed{-4}



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