Solve this basic algebra
Algebra is not just a branch of mathematics — it's like a game. And just like any game, it's fun only when you understand the rules. Let’s understand this with a simple example:
Solve:
x + x × x = 20
This seems like a simple equation, and with a little thought, you might find the answer. But what if the numbers were bigger? Let’s go step-by-step.
First, try to solve this with a pen and notebook.
Some people may get confused about the correct way to solve it. Should we do:
x + (x × x)
or (x + x) × x?
Let’s clear the confusion.
Follow the BODMAS rule
In math, we follow a specific order of operations called BODMAS:
Brackets > Orders (powers) > Division > Multiplication > Addition > Subtraction
So in this equation: x + x × x, we must solve the multiplication first.
That means:
x + (x × x) = 20
Which becomes:
x + x² = 20
Rearranging the equation
Let’s move all terms to one side to get a quadratic equation:
x + x² − 20 = 0
or
x² + x − 20 = 0
Now, we need to solve this quadratic equation.
Factorization
We need to split the middle term (+x) into two numbers that:
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Multiply to give the last term (−20)
And add to give the middle term (+x or +1)
Let’s try +5x and −4x:
+5x + (−4x) = +x (works!)
+5 × (−4) = −20 (also works!)
So we rewrite the equation as:
x² + 5x − 4x − 20 = 0
Now, group the terms:
(x² + 5x) − (4x + 20)
Take out common factors from each group:
x(x + 5) − 4(x + 5)
Now, factor out the common binomial:
(x − 4)(x + 5) = 0
Now set both factors equal to 0:
1. x − 4 = 0 → x = 4
2. x + 5 = 0 → x = −5
possible answers are
4 and -5
x = 4 or x = −5
try to solve — x+x×x=56
thankyou
writer — Jyoti Verma
