а) <span>4х во второй степени - 5х-9=0</span>
<span> Д= (-5) в кв.-4*(-9)*4</span>
<span>Д=25+144</span>
<span>Д=169>0 , 2 корня</span>
<span>б)<span>-1 6х во второй степени +24х-9=0</span></span>
<span><span> Д=24 в кв. -4*(-16)* (-9)</span></span>
<span><span>Д=576-576</span></span>
<span><span>Д=0=0, 1 корень</span></span>
18-15х+17х-10=2х+8=2*(х+4)
<span>(x-6)(3-2х)=0
</span>x*3+x * ( -2x) - 6 * 3 - 6 * ( -2x)=0
3x-2x²-18+12x=0
15x-2x²-18=0
D=15²-4*(-2)*(-18)
255-4*(-2)*(-18)
225-4*36
225-144=81
81=9²
![x= \frac{15+9}{4} = \frac{24}{4} =6 \\ \\ x2= \frac{15-9}{4} = \frac{6}{4} = \frac{3}{2} =1,5](https://tex.z-dn.net/?f=x%3D+%5Cfrac%7B15%2B9%7D%7B4%7D+%3D+%5Cfrac%7B24%7D%7B4%7D+%3D6+%5C%5C++%5C%5C+x2%3D+%5Cfrac%7B15-9%7D%7B4%7D+%3D+%5Cfrac%7B6%7D%7B4%7D+%3D+%5Cfrac%7B3%7D%7B2%7D+%3D1%2C5)
Ответом к вашему уравнению будут : x1=6 , x2=1,5
![-3\leq \frac{3x-5}{4} \leq 4\\ \\ -12\leq 3x-5\leq 16\\ \\ -7\leq 3x\leq 21\\ \\ -\frac{7}{3} \leq x\leq 7](https://tex.z-dn.net/?f=-3%5Cleq%20%5Cfrac%7B3x-5%7D%7B4%7D%20%5Cleq%204%5C%5C%20%5C%5C%20-12%5Cleq%203x-5%5Cleq%2016%5C%5C%20%5C%5C%20-7%5Cleq%203x%5Cleq%2021%5C%5C%20%5C%5C%20-%5Cfrac%7B7%7D%7B3%7D%20%5Cleq%20x%5Cleq%207)
------------------------------------------------------------