<var>(x−5)
2
=5x
2
−(2x−1)(2x+1)</var>
< var > x^{2}-10x+25=5x^{2}-(4x^{2}-1) < /var ><var>x
2
−10x+25=5x
2
−(4x
2
−1)</var>
< var > x^{2}-10x+25=5x^{2}-4x^{2}+1 < /var ><var>x
2
−10x+25=5x
2
−4x
2
+1</var>
< var > x^{2}-10x+25=x^{2}+1 < /var ><var>x
2
−10x+25=x
2
+1</var>
< var > x^{2}+1-x^{2}+10x-25=0 < /var ><var>x
2
+1−x
2
+10x−25=0</var>
< var > (x^{2}-x^{2})+10x+(1-25)=0 < /var ><var>(x
2
−x
2
)+10x+(1−25)=0</var>
< var > 10x-24=0 < /var ><var>10x−24=0</var>
< var > 10x=24 < /var ><var>10x=24</var>
< var > x=24:10 < /var ><var>x=24:10</var>
< var > x=2,4 < /var ><var>x=2,4</var>
< var > (2,4-5)^{2}=5\cdot(2,4)^{2}-(2\cdot2,4-1)\cdot(2\cdot2,4+1) < /var ><var>(2,4−5)
2
=5⋅(2,4)
2
−(2⋅2,4−1)⋅(2⋅2,4+1)</var> (это проверка)
< var > (-2,6)^{2}=5\cdot5,76-(4,8-1)\cdot(4,8+1) < /var ><var>(−2,6)
2
=5⋅5,76−(4,8−1)⋅(4,8+1)</var>
< var > 6,76=28,8-3,8\cdot5,8 < /var ><var>6,76=28,8−3,8⋅5,8</var>
< var > 6,76=28,8-22,04 < /var ><var>6,76=28,8−22,04</var>
< var > 6,76=6,76 < /var ><var>6,76=6,76</var>
метод интервалов
-0.80.51
x=(-oo -0.8]U[0.5 1]