化简 (x-3)(3/4) + 1/8 = 0
在小学课程中，人们教导说字母与英语或文学学科有关，而数字与数学有关。例如，a,b,c,d..等是英文字母，1,2,3,4...等属于数学。我们对数字进行了基本的算术运算并计算了值。但在中学课堂上，字母现在用于数学科目。这些字母与数字和运算一起用于表示未知数，这个过程称为代数。
代数表达式
代数表达式是数字和变量以及算术运算运算符的组合。我们使用代数表达式将数学语句表示为表达式。
例如，“从一个数字中取走九”可以写为“x-9”。这里我们不知道数字的值，所以我们用 x 表示它。负号将表达式分成两项。因此，根据术语的数量，表达式可以分为以下几类。
- 单项式：如果表达式中的项数为 1，则该表达式称为单项式。示例：5x、6y 等。
- 二项式：如果表达式中的项数为 2，则该表达式称为二项式。示例：8x-6、3y+r 等。
- 三项式：如果表达式中的项数为三，则该表达式称为三项式。示例：a-c+e、8q-2j+3r 等
- 多项式：如果表达式中的项数为一项或多项，则该表达式称为多项式。
代数方程
When we compare an expression with the other expression then it is known as the algebraic equation. Algebraic equations consist of equalities signs. For example,
3x + 2 = 0
Here we are comparing 3x + 2 with 0, 3x + 2 and 0 is equal.
In the algebraic equation, there are left-hand sides (LHS) and right-hand sides (RHS).
找出方程的所有解。 (x-3){3/4} + {1}/8} = 0
解决方案：
Step to solve the problem:
Step 1: Simplify the bracket part of the algebraic equation.
⇒ (x-3) × (3/4) + (1/8) = 0
Step 2: Do the calculation according to the operators.
⇒ 3x/4 – 9/4 + 1/8 = 0
Step 3: Transfer all the numerals part on one side and the variable part on the other side of the equation. If a term has the positive sign on the left side and we transfer it to the other side then its sign changed to negative, similarly the negative sign changes to positive, multiplication changes to division, and division changes to multiplication.
⇒ 3x/4 = 9/4 – 1/8
Step 4: Convert the numerals part into like fractions and solve them.
⇒ 3x/4 = 18/8 – 1/8
⇒ 3x/4 = (18 – 1)/8
⇒ 3x/4 = 17/8
⇒ x = (17 × 4)/(8 × 3)
Step 5: Cancel out the common factor.
⇒ x = 17/6
So the solution of the equation is x = 17/6.
类似问题
问题 1：找出方程的所有解。 (a – 3)(5/6) – (9/7) = 0。
解决方案：
Simplify the bracket part of the algebraic equation.
⇒ (a × 5)/6 – 3 × 5/6 – 9/7 = 0
⇒ 5a/6 – 5/2 – 9/7 = 0
Transfer all the numerals part on one side and the variable part on the other side of the equation. If a term has the positive sign on the left side and we transfer it to the other side then its sign changed to negative, similarly the negative sign changes to positive, multiplication changes to division, and division changes to multiplication.
⇒ 5a/6 = 5/2 + 9/7
Convert the numerals part into like fractions and solve them.
⇒ 5a/6 = 35/14 + 18/14
⇒ 5a/6 = (35 + 18)/14
⇒ 5a/6 = 53/14
⇒ a = (53 × 6)/(14 × 5)
⇒ a = 159/35
So the solution of the equation is a = 159/35.
问题 2：找出方程的所有解。 (9x – 3)(1/2) + 3/8 = 0
解决方案：
Simplify the bracket part of the algebraic equation.
⇒ 9x×1/2 -3×1/2 + 3/8 = 0
Transfer all the numerals part on one side and the variable part on the other side of the equation. If a term has the positive sign on the left side and we transfer it to the other side then its sign changed to negative, similarly the negative sign changes to positive, multiplication changes to division, and division changes to multiplication.
⇒ 9x/2 = 3/2 – 3/8
Convert the numerals part into like fractions and solve them.
⇒ 9x/2 = 12/8 – 3/8
⇒ 9x/2 = (12 – 3)/8
⇒ 9x/2 = 9/8
⇒ x = (9 × 2)/(8 × 9)
Cancel out the common factor.
⇒ x = 1/4
So the solution of the equation is x = 1/4.