Đại số lớp 8
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Let a,b be the roots of equation \(x^2-px+q=0\) and let c,d be the roots of the equation \(x^2-rx+s=0\), where p,q,r,s are some positive real numbers. Suppose that :
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1. Determine all pairs of integer (x;y) such that 2xy2+x+y+1x2+2y2+xy 2. Let a,b,c satisfies the conditions {5≥a≥b≥c≥0a+b≤8a+b+c10 Prove that 2a2+b2+c2≤38 3. Let a nad b satis fy the conditions {a3−6a2+15a9b3−3b2+6b−1 Find the value of(a−b)2014 ? 4. Find the smallest positive integer n such that the number 2n+28+211 is a perfect square
Đọc tiếp
1. Determine all pairs of integer (x;y) such that 2xy2+x+y+1=x2+2y2+xy
2. Let a,b,c satisfies the conditions
{
5≥a≥b≥c≥0
a+b≤8
a+b+c=10
Prove that 2a2+b2+c2≤38
3. Let a nad b satis fy the conditions
{
a3−6a2+15a=9
b3−3b2+6b=−1
Find the value of(a−b)2014 ?
4. Find the smallest positive integer n such that the number 2n+28+211 is a perfect square
I) THỰC HIỆN PHÉP TÍNHa) 2x(x^2-4y)b)3x^2(x+3y)c) -1/2x^2(x-3)d) (x+6)(2x-7)+xe) (x-5)(2x+3)+xII phân tích đa thức thành nhân tửa) 6x^2+3xyb) 8x^2-10xyc) 3x(x-1)-y(1-x)d) x^2-2xy+y^2-64e) 2x^2+3x-5f) 16x-5x^2-3g) x^2-5x-6IIITÌM X BIẾTa)2x+10b) -3x-50c) -6x+70d)(x+6)(2x+1)0e)2x^2+7x+30f) (2x-3)(2x+1)0g) 2x(x-5)-x(3+2x)26h) 5x(x-1)x-1IV TÌM GTNN,GTLN.a) tìm giá trị nhỏ nhất x^2-6x+10 2x^2-6xb) tìm giá trị lớn nhất 4x-x^2-5 4x-x^2+3
Đọc tiếp
I) THỰC HIỆN PHÉP TÍNH
a) 2x(x^2-4y)
b)3x^2(x+3y)
c) -1/2x^2(x-3)
d) (x+6)(2x-7)+x
e) (x-5)(2x+3)+x
II phân tích đa thức thành nhân tử
a) 6x^2+3xy
b) 8x^2-10xy
c) 3x(x-1)-y(1-x)
d) x^2-2xy+y^2-64
e) 2x^2+3x-5
f) 16x-5x^2-3
g) x^2-5x-6
IIITÌM X BIẾT
a)2x+1=0
b) -3x-5=0
c) -6x+7=0
d)(x+6)(2x+1)=0
e)2x^2+7x+3=0
f) (2x-3)(2x+1)=0
g) 2x(x-5)-x(3+2x)=26
h) 5x(x-1)=x-1
IV TÌM GTNN,GTLN.
a) tìm giá trị nhỏ nhất
x^2-6x+10
2x^2-6x
b) tìm giá trị lớn nhất
4x-x^2-5
4x-x^2+3
tìm x:
a) x(2x - 3) - 2(3-2x) = 0
b) 2x(x - 5) - x(3+2x) = 26
1. tìm x
a) x2(2x-3)-12+8x=0
b) 2(x+5)(2x-5)+(x-1)(5-2x)=0
c) 2x3-32x=0