Solve 6 + 4s², when s = 3.
Understand the Problem
The question is asking to solve the expression 6 + 4s² by substituting the value of s = 3 into the equation. This involves calculating the value of the expression after performing the substitution.
Answer
The value of the expression is $42$.
Answer for screen readers
The final answer is $42$.
Steps to Solve
- Substitution of the variable Substitute the value of $s = 3$ into the expression $6 + 4s^2$.
$$ 6 + 4(3^2) $$
- Calculate the exponent Calculate $3^2$ first.
$$ 3^2 = 9 $$
- Multiply by 4 Next, multiply the result by 4.
$$ 4 \times 9 = 36 $$
- Add to 6 Finally, add 6 to the result of the multiplication.
$$ 6 + 36 = 42 $$
The final answer is $42$.
More Information
The expression $6 + 4s^2$ represents a simple quadratic function. When substituting $s = 3$, we calculate the output value of this function, resulting in $42$.
Tips
- Forgetting to square the value of $s$. Always ensure you calculate $s^2$ before any multiplications.
- Misplacing the addition and multiplication order. Remember to follow the order of operations (PEMDAS/BODMAS).
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