Если х=2, то 0•2+5у=10 0+5у=10 5у=10-0 5у=10 у=10:5 у=2. (2;2)
Если х=4, то 0•4+5у=10 0+5у=10 5у=10 у=10:5 у=2. (4;2)
Таким образом, у тебя получилось две точки:
1.(2;2)
2.(4;2)
И строишь график, отмечаешь эти точки и проводишь прямую
(-a-3)x²+6x+4a=0,
-a-3≠0, a≠-3;
D₁=k²-ac=3²-(-a-3)·4a=9+4a(a+3)=4a²+12a+9=(2a)²+2·2a·3+3²=(2a+3)²,
x=(-k±√D1)/a
x₁=(-3+√(2a+3)²)/(-a-3),
x₂=(-3-√(2a+3)²)/(-a-3).
2a+3≥0, a≥-1,5,
x₁=(-3+2a+3)/(-a-3)=-2a/(a+3),
x₂=(-3-(2a+3))/(-a-3)=(2a+6)/(a+3)=2(a+3)/(a+3)=2.
a<1,5,
x₁=(-3-(2a+3))/(-a-3)=2,
x₂=(-3+(2a+3))/(-a-3)=-2a/(a+3).
a=-3,
6x+4·(-3)=0,
6x-12=0,
6x=12,
x=2.
1. Преобразуй в многочлен
1) ![(y-4)^{2}=(y-4)(y-4)=y^{2}-4y-4y+16=y^{2}+(-4y-4y)+16=y^{2}-8y+16](https://tex.z-dn.net/?f=%28y-4%29%5E%7B2%7D%3D%28y-4%29%28y-4%29%3Dy%5E%7B2%7D-4y-4y%2B16%3Dy%5E%7B2%7D%2B%28-4y-4y%29%2B16%3Dy%5E%7B2%7D-8y%2B16%20)
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2) ![(7x+a)^{2}=(7x+a)(7x+a)=49x^{2}+(7ax+7ax)+a^{2}=49x^{2}+14ax+a^{2}](https://tex.z-dn.net/?f=%287x%2Ba%29%5E%7B2%7D%3D%287x%2Ba%29%287x%2Ba%29%3D49x%5E%7B2%7D%2B%287ax%2B7ax%29%2Ba%5E%7B2%7D%3D49x%5E%7B2%7D%2B14ax%2Ba%5E%7B2%7D)
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3) ![(5c-1)(5c+1)=25c^{2}+(5c-5c)-1=25c^{2}-1](https://tex.z-dn.net/?f=%285c-1%29%285c%2B1%29%3D25c%5E%7B2%7D%2B%285c-5c%29-1%3D25c%5E%7B2%7D-1%20)
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4) ![(3a+2b)(3a-2b)=9a^{2}-6ab+6ab-4b^{2}=9a^{2}+(-6ab+6ab)-4b^{2}=9a^{2}-4b^{2}](https://tex.z-dn.net/?f=%283a%2B2b%29%283a-2b%29%3D9a%5E%7B2%7D-6ab%2B6ab-4b%5E%7B2%7D%3D9a%5E%7B2%7D%2B%28-6ab%2B6ab%29-4b%5E%7B2%7D%3D9a%5E%7B2%7D-4b%5E%7B2%7D%20)
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2. Упрости выражение
![(a-9)^{2}-(81+2a)=a^{2}-18a+81-81-2a=a^{2}+(-18a-2a)+(81-81)=a^{2}-20a=a(a-20)](https://tex.z-dn.net/?f=%28a-9%29%5E%7B2%7D-%2881%2B2a%29%3Da%5E%7B2%7D-18a%2B81-81-2a%3Da%5E%7B2%7D%2B%28-18a-2a%29%2B%2881-81%29%3Da%5E%7B2%7D-20a%3Da%28a-20%29)
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3. Решите уровнение
![(2-x)^{2}-x(x+1,5)=4](https://tex.z-dn.net/?f=%282-x%29%5E%7B2%7D-x%28x%2B1%2C5%29%3D4)
![4-4x+x^{2}-x^{2}-1,5x=4](https://tex.z-dn.net/?f=4-4x%2Bx%5E%7B2%7D-x%5E%7B2%7D-1%2C5x%3D4)
![4-4x+x^{2}-x^{2}-1,5x-4=0](https://tex.z-dn.net/?f=4-4x%2Bx%5E%7B2%7D-x%5E%7B2%7D-1%2C5x-4%3D0)
![(x^{2}-x^{2})+(-4x-1,5x)+(4-4)=0](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-x%5E%7B2%7D%29%2B%28-4x-1%2C5x%29%2B%284-4%29%3D0)
![-5,5x=0](https://tex.z-dn.net/?f=-5%2C5x%3D0)
![x=0](https://tex.z-dn.net/?f=x%3D0)
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4. Разложите на множители
1) ![x^{2}-49=(x-7)(x+7)](https://tex.z-dn.net/?f=x%5E%7B2%7D-49%3D%28x-7%29%28x%2B7%29)
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2)
![25x^{2}-10xy+y^{2}=25x^{2}+(-5xy-5xy)+y^{2}=(25x^{2}-5xy)+(-5xy+y^{2})=(25x^{2}-5xy)-(5xy-y^{2})=5x(5x-y)-y(5x-y)=(5x-y)(5x-y)=(5x-y)^{2}](https://tex.z-dn.net/?f=25x%5E%7B2%7D-10xy%2By%5E%7B2%7D%3D25x%5E%7B2%7D%2B%28-5xy-5xy%29%2By%5E%7B2%7D%3D%2825x%5E%7B2%7D-5xy%29%2B%28-5xy%2By%5E%7B2%7D%29%3D%2825x%5E%7B2%7D-5xy%29-%285xy-y%5E%7B2%7D%29%3D5x%285x-y%29-y%285x-y%29%3D%285x-y%29%285x-y%29%3D%285x-y%29%5E%7B2%7D)
<span>3*(3^2x) - 7*912^x) + 4*04^2x) = 0
</span><span>3*(3^2x) - 7*(3^x)*(4^x) + 4*(4^2x) = 0 / (4^2x)
3*[(3/4)^2x] - 7*[(3/4)^x] + 4 = 0
</span>(3/4)^x = z
3*(z^2) - 7z + 4 = 0
D = 49 - 4*3*4 = 1
z1 = (7 - 1)/6
z1 = 1
z2 = (7 +1)/6
z2 = 4/3
1) (3/4)^x = 1
(3/4)^x = (3/4)^0
x1 = 0
2) (3/4)^x = 4/3
(3/4)^x = (3/4)^(-1)
x2 = -1