Hank made a mistake in Step 1. The equation he started with was \(25 = x^4 - 9\). To isolate \(x^4\), he should have added 9 to both sides, resulting in \(25 + 9 = x^4\) or \(34 = x^4\). Instead, he subtracted 9, which is incorrect. The correct first step is to add 9 to both sides of the equation.
Hank's work to solve the equation 25=x4−925=x4−9 is shown below. In which step did Hank make a mistake, and what mistake did he make? 25=x4−925=x4−9 Step 1: 16=x416=x4 Step 2: x=64x=64 (1 point) Responses Hank made a mistake in Step 1. The first step needed to solve this correctly would be to add 9 to both sides of the equation. Hank subtracted 9 instead of adding 9. Hank made a mistake in Step 1. The first step needed to solve this correctly would be to add 9 to both sides of the equation. Hank subtracted 9 instead of adding 9. Hank made a mistake in Step 1. The first step needed to solve this correctly would be to multiply both sides of the equation by 4. Hank divided by 4 instead of multiplying. Hank made a mistake in Step 1. The first step needed to solve this correctly would be to multiply both sides of the equation by 4. Hank divided by 4 instead of multiplying. Hank made a mistake in Step 2. The second step needed to solve this correctly would be to divide both sides of the equation by 4. Hank multiplied by 4 instead of dividing. Hank made a mistake in Step 2. The second step needed to solve this correctly would be to divide both sides of the equation by 4. Hank multiplied by 4 instead of dividing. Hank made a mistake in Step 2. The second step needed to solve this correctly would be to subtract 9 to both sides of the equation. Hank added 9 instead of subtracting 9.
3 answers
What is the correct first step to solve the equation 14k+23=1714k+23=17 for k?(1 point) Responses Subtract 23 from both sides of the equation. Subtract 23 from both sides of the equation. Add 17 to both sides of the equation. Add 17 to both sides of the equation. Subtract 14 from both sides of the equation. Subtract 14 from both sides of the equation. Divide by 14 on both sides of the equation.
The correct first step to solve the equation \(14k + 23 = 17\) for \(k\) is to subtract 23 from both sides of the equation.
This gives you:
\[ 14k + 23 - 23 = 17 - 23 \]
or
\[ 14k = -6 \]
From there, you can proceed to solve for \(k\).