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Home » This is a quadratic equation, which can be factored as: - Databee Business Systems

This is a quadratic equation, which can be factored as: - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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Substitute \( x = 5 \) into the expressions for length and width:
Length: \( 3(5) + 2 = 15 + 2 = 17 \)
Width: \( 5 - 1 = 4 \)
The area of the rectangle is \( 17 imes 4 = 68 \).
#### 68
Find the value of \( x \) if \( 2x^2 - 5x - 3 = 0 \).
Using the quadratic formula \( x = rac{-b \pm \sqrt{b^2 - 4ac}}{2a} \...
First, calculate the discriminant:
\[ b^2 - 4ac = (-5)^2 - 4 imes 2 imes (-3) = 25 + 24 = 49 \]
Then find the roots:

📝 Recent Posts

Since $ 504 $ is already too large, no smaller positive multiple exist...
Thus, there is **no** two-digit integer that satisfies the condition.
However, if we interpret the question as seeking the **smallest** such...
x = 504 - 3 = 501
But since the question asks for a two-digit number, and none exists, t...
But let's double-check by checking smaller common differences.
Alternatively, suppose the condition is that $ x \equiv -3 \pmod{7,8,9...
Then $ x \equiv -3 \pmod{504} $, so $ x = 504k - 3 $.
For $ x $ to be two-digit:
\leq 504k - 3 \leq 99 \Rightarrow 13 \leq 504k \leq 102 \Rightarrow k...

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