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If the solution of the equation (2x + a) / 3 = (4x + b) / 5 of X is not negative, then the ratio of a to B Is it 3 / 5? Cry for
(2X+a)/3=(4X+b)/5
10x＋5a=12x＋3b
2x=5a-3b
Because the solution is not negative, so
5a-3b≥0
5a≥3b
】
a：b=3：5
If the solution of the equation 2x + a3 = 4x + B5 about X is not negative, then the value range of a is______ ．
Remove the denominator, get 5 (2x + a) = 3 (4x + b), remove the brackets, get 10x + 5A = 12x + 3b, transfer the term, merge the similar terms, get - 2x = 3b-5a, coefficient is 1, get x = - 3b − 5A2. ∵ the solution of the equation 2x + a3 = 4x + B5 about X is not negative, ∵ - 3b − 5A2 ≥ 0. The solution is a ≥ 35b, so the answer is a ≥ 35b
It is known that the difference between the polynomial (- 2x & # 178; + 3) and twice a is 2x & # 178; + 2x-7
1 find polynomial a
When 2x = 1, find the value of A
The difference between the polynomial (- 2x & # 178; + 3) and the double of a is 2x & # 178; + 2x-7 * (- 2x & # 178; + 3) - 2A = 2x & # 178; + 2x-7 *) 2A = (- 2x & # 178; + 3) - (2x & # 178; + 2x-7) = - 4x & # 178; - 2x + 10 *; a = - 2x & # 178; - x + 5x = 1, a = - 2-1 + 5 = 2
RELATED INFORMATIONS
- 1. When Xiaojun calculates the polynomial (x ^ 2 + MX + n) (x ^ 2-4x), he finds that the expansion does not contain x ^ 3 and x ^ 2. He tries to find the value of M and n
- 2. Try to explain: no matter what value x takes, the value of polynomial (2x & # 179; + 5x & # 178; + 4x-3) - (- X & # 178; + 3x & # 179; - 3x-1) + (4-7x-6x & # 178; + X & # 179;) will not change Try to explain: no matter what value x takes, the value of polynomial (2x & # 179; + 5x & # 178; + 4x-3) - (- X & # 178; + 3x & # 179; - 3x-1) + (4-7x-6x & # 178; + X & # 179;) will not change Be quick
- 3. If the square of 9x + XY + my is a complete square, then M =?
- 4. Prove that the equation 2mx square-3 (M + 2) x + m + 4 = 0 (M is a real number) must have a real root
- 5. Decomposition factor: - 9x ^ (n + 1) - 6x ^ n + 3x ^ (n-1)
- 6. 3x & # 179; + 12x & # 178; - 36x factorization
- 7. Factorization: 3x ^ 2-36x + 60 =?
- 8. Please try to explain that when k is a value, the polynomial x ^ 2-x + K has a factor X + 2 ! don't copy and paste
- 9. Given that the polynomial (a + 3) x ^ 3-2x ^ 2Y + y ^ 2 - (5x ^ 3 + y ^ 2 + 1) does not contain x ^ 3 term, calculate the value of a ^ 3-2a ^ 2 + 4a-1
- 10. It is known that two α, β of the quadratic equation anx2 − an + 1x + 1 = 0 (n ∈ n *) of X satisfy 6 α - 2 α β + 6 β = 3, and A1 = 1. (1) use an to express an + 1; (2) find the general term formula of sequence an; (3) find the first n term and Sn of sequence {an} and the value range of Sn
- 11. 4X & # 178; - 12xy + K & # 178; Y & # 178; is the value of K in the complete square formula
- 12. If 4x ^ 2 + 2 (M + 3) x + 25 is a complete square, then M =?
- 13. If the polynomial of x-4x ^ 3-2mx ^ 2 + 2x ^ 2-5 is a cubic trinomial, then M satisfies the condition () A.m=-1 B.m≠1 C.m=1 D.m≠1
- 14. If 4x ^ 2 + 2mx + 1 is a complete square, what is the value of M
- 15. The cube of polynomial x-4x + nx-2x-5 is equal to the cube of polynomial x + 3x + MX + 4x-5
- 16. If the factorization result of polynomial X & sup2; - MX + 25 is (X-5) (X-7), can you determine the value of M?;
- 17. First three solution equation, (X-2) 2-25 = 0, which 2 is square
- 18. If the algebraic formula x2 + kxy + Y2 is a complete square, then the value of K is
- 19. When k is a value, x2-4xy + 4y2-10x + 20Y + K2 + 9 is a complete square expression X2: the square of X 4y2: the square of 4Y K2: the square of K
- 20. It is known that x2 + 2kx + 9 is a complete square expression, and the value of (K + 2) (K-2) (K2 + 4) can be obtained Wrong, it should be We know that X & # 178; + 2kx + 9 is a complete square, Find the value of (K + 2) (K-2) (K & # 178; + 4)