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解: 5. 3(x - 5)² = 25 -x²
3( x² - 10x +25) = 25-x²
3x²-30x + 75 = 25-x²
4x² -30x +50 =0
△= b²- 4ac=(-30)² - 4*4*50=100
∴ X= -b±√△ /2a
X1= -(-30)+10 /2*4
X2=-(-30)-10 /2*4
∴ x1= 5 ,x2= 5/2
6 (x-4)²=(5+2x)²
x - 4 = 5+2x 或 x - 4 = -(5+2x)
x - 4 = 5+2x
2x - x = - 4 - 5
∴ x1 = - 9
x - 4 = -(5+2x)
x - 4 = - 5 - 2x
x + 2x = - 5 + 4
3x = -1
∴ x2 = - 1/3
祝: 好运!朋友!
3( x² - 10x +25) = 25-x²
3x²-30x + 75 = 25-x²
4x² -30x +50 =0
△= b²- 4ac=(-30)² - 4*4*50=100
∴ X= -b±√△ /2a
X1= -(-30)+10 /2*4
X2=-(-30)-10 /2*4
∴ x1= 5 ,x2= 5/2
6 (x-4)²=(5+2x)²
x - 4 = 5+2x 或 x - 4 = -(5+2x)
x - 4 = 5+2x
2x - x = - 4 - 5
∴ x1 = - 9
x - 4 = -(5+2x)
x - 4 = - 5 - 2x
x + 2x = - 5 + 4
3x = -1
∴ x2 = - 1/3
祝: 好运!朋友!
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