1)9x^2+12x+4=10+3(x^2+2x-2x-4)
9x^2+12x+4=10+3x^2+6x-6x-12
<span>9x^2+12x+4-10-3x^2-<u>6x</u>+<u>6x</u>+12=0
</span>6x^2+12x+6=0
D=<span><span><span>12^2−4·6·6</span>=144−144</span>=0(Уравнение имеет один корень)</span><span>
X1=-12/2*6=-12/12=-1
2)4x^2-12x+9=9-2(x^2+3x-3x-9)
4x^2-12x+9=9-2x^2-6x+6x+18
</span><span>4x^2-12x+<u>9</u>-<u>9</u>+2x^2+<u>6x</u>-<u>6x</u>-18=0
</span>6x^2-12x-18=0
D=<span><span><span><span>(−12)^2</span>−<span>4·6·(−18)</span></span>=144+432</span>=576=24
x1=-(-12)+24/2*6=36/12=3
X2=-(-12)-24/2*6=-12/12=-1
3)x^3-2x^2+4x+2x^2-4x+8-x^3-2x^2=0
-2x^2+8=0
2x^2-8=0
D=</span><span><span><span>0^2−<span>4·2·<span>(−8)</span></span></span>=0+64</span>=64=8
</span><span>x1=-0+8/2*2=8/4=2
x2=-0-8/2*2=-8/4=-2
4)x^3+x^2-x-x^2-x+1-x^3+x^2=0
</span><span>x^2-2x+1=0
D=</span><span><span><span><span><span>(<span>−2</span>)^</span>2</span>−<span><span>4·1</span>·1</span></span>=<span>4−4</span></span>=0</span><span> (Уравнение имеет один корень)
</span><span>x1=-(-2)/2*1=2/2=1
</span>
Объяснение:
<em>y</em><em>=</em><em>x</em><em>+</em><em>3</em>
<em>0</em><em>=</em><em>x</em><em>+</em><em>3</em>
<em>x</em><em>=</em><em>-</em><em>3</em>
<em>(</em><em>-</em><em>3</em><em>;</em><em>0</em><em>)</em>