Example Question - mathematics calculation
Here are examples of questions we've helped users solve.
Solving Quadratic Equation
确定 a=3，b=5 和 c=-2。 使用二次公式：x = [-b ± √(b²-4ac)] / (2a) 计算 b² - 4ac = 5² - 4×3×(-2) = 25 + 24 = 49 求根 √(b²-4ac) = √49 = 7 代入公式：x = [-5 ± 7] / (2×3) 解得两个解： x1 = (-5 + 7) / 6 = 2 / 6 = 1/3 x2 = (-5 - 7) / 6 = -12 / 6 = -2 所以，方程的解为 x = 1/3 或 x = -2。
Solving Expression with Square Root
The expression in the image is \( 4\sqrt{25} \). To solve this, you need to determine the square root of 25 and then multiply the result by 4. The square root of 25 is 5 because \( 5^2 = 25 \). Now, multiply 5 by 4 to get the final answer. \( 4 \times 5 = 20 \). So, \( 4\sqrt{25} = 20 \).
Simple Addition Method Explanation
This is a simple addition problem. To solve it, you add the two numbers together. Here's how you would do it column by column starting from the right: 5 (from the first number) + 4 (from the second number) = 9 9 (from the first number) + 7 (from the second number) = 16; write down the 6 and carry over the 1 to the next column 2 (from the first number) + 8 (from the second number) + 1 (carried over) = 11; write down the 1 and carry over the 1 to the next column 2 (from the first number) + 3 (from the second number) + 1 (carried over) = 6 So, when you add 2,295 and 3,874, the sum is 6,169.
Finding the Difference Between Two Numbers
To find the difference between two numbers, we subtract the smaller number from the larger number. In this case, we need to subtract 28,493 from 34,042: 34,042 -28,493 ________ Starting from the units: 2 - 3, we cannot subtract 3 from 2, so we'll borrow 1 from the tens place (making it 4 tens instead of 5 tens). 12 (borrowed 1 ten to make 12) - 3 = 9 (units place) 4 (after borrowing 1 ten, we have 4 tens left) - 9, we cannot subtract 9 from 4, so we'll borrow 1 from the hundreds place (making it 0 hundreds instead of 1 hundred). 14 (borrowed 1 hundred to make 14 tens) - 9 = 5 (tens place) 0 (after borrowing 1 hundred, we have 0 hundreds left) - 4, we cannot subtract 4 from 0, so we'll borrow 1 from the thousands place (making it 3 thousands instead of 4 thousands). 10 (borrowed 1 thousand to make 10 hundreds) - 4 = 6 (hundreds place) 3 (after borrowing 1 thousand, we have 3 thousands left) - 8, we cannot subtract 8 from 3, so we'll borrow 1 from the ten thousands place (making it 0 ten thousands instead of 1 ten thousand). 13 (borrowed 1 ten thousand to make 13 thousands) - 8 = 5 (thousands place) 0 (after borrowing 1 ten thousand, we have 0 ten thousands left) - 2, we cannot subtract 2 from 0, so we'll borrow 1 from the hundred thousands place (which is not visible here, assuming it is 0 because it is not written, but conceptually it is like borrowing a 1 from a prefixed invisible 0, making it 10 hundred thousands). 10 - 2 = 8 (ten thousands place) Putting all the digits together, the result is: 8,549 So, the difference between 34,042 and 28,493 is 8,549.
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