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Mathematics in the second volume of the third grade
3x(2x-7)=5x square

Solution: 6X? -2 1X=5X?

x? -2 1X=0 X(X-2 1)=0

∴ x 1 = 0, x2 = 2 1 (1-3x) squared =4x2.

Solution: 1-6X+9X? =4X? 5X? -6X+ 1=0

∵a=5,b=-6,c= 1δ=﹙﹣6﹚? -4×5× 1= 16﹥0

∴x 1=﹙6+√ 1,﹚/2×5= 1,

X2=﹙6-√ 16﹚/2×5= 1/5

(5x-2) Square =3(5x-2)

Solution: 25X? -20X+4= 15X-6

25X? -35X+ 10=0

5X? -7X+2=0

∫a = 5,b=-7,c=2,

∴Δ=(-7)? -4×5×2=9﹥0

∴X 1=﹙7+√9﹚/2×5= 1,

x2=﹙7-√9﹚/2×5=2/5x(x+4)=2 1

Solution: x? +4X-2 1=0

∴(X+7)(X-3)=0

∴X+7=0 or X-3=0

∴X 1=-7,X2=3