Example Question - specific value
Here are examples of questions we've helped users solve.
Solving Expression for Specific Value
To solve the given expression for x = 11, you simply substitute the value of x into the expression and then perform the arithmetic operations. The expression is x^2 + 5x - 2. Substitute x with 11: (11)^2 + 5(11) - 2 Now, calculate the values: 11^2 = 121 5(11) = 55 So, the expression becomes: 121 + 55 - 2 Now add and subtract the numbers: 121 + 55 = 176 176 - 2 = 174 Therefore, the value of the expression when x = 11 is 174.
Solving for v in terms of u and finding a specific value
To express \( v \) in terms of \( u \), we will start with the given equation \( u = \sqrt{2v - 3} \) and solve for \( v \). Here are the steps: (a) Express \( v \) in terms of \( u \): 1. Square both sides of the equation to eliminate the square root: \( u^2 = (\sqrt{2v - 3})^2 \) 2. This simplifies to: \( u^2 = 2v - 3 \) 3. Now add 3 to both sides to isolate the \( v \) term: \( u^2 + 3 = 2v \) 4. Finally, divide both sides by 2 to solve for \( v \): \( v = \frac{u^2 + 3}{2} \) (b) Find the value of \( v \) if \( u = 5 \): To find the value of \( v \) when \( u = 5 \), substitute \( u \) with 5 in the equation from part (a): \( v = \frac{5^2 + 3}{2} \) \( v = \frac{25 + 3}{2} \) \( v = \frac{28}{2} \) \( v = 14 \) So, the value of \( v \) when \( u = 5 \) is \( 14 \).
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