Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6
Answer:-26 is the next number
Step-by-step explanation:you just -5
Answer:
1 1/4
Step-by-step explanation:
Answer:
x = 7
x = -5
Step-by-step explanation:
Given
x² - 2x - 35 = 0
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5, since
- 7 × 5 = - 35 and - 7 + 5 = - 2, thus
(x - 7)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
40% off means you are paying 60% of the original price ( 100% - 40% = 60%
Multiply the price of the coat by 60%:
65.00 x 0.60 = 39.00 ( sale price)
Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:
39.00 x 1.05 = 40.95
The final price is $40.95
