Answer:
Step-by-step explanation:
Given
x² + x
To complete the square
add ( half the coefficient of the x- term )² to x² + x
x² + 2(
)x + ( )² = x² + x +
= (x + )² ← perfect square
Simplify the expression.<span>1213</span>
Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!
Step 1: Simplify both sides of the equation.<span>425=<span><span>−<span>250<span>x2</span></span></span>+<span>6250x
</span></span></span>Step 2: Subtract -250x^2+6250x from both sides.<span><span>425−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span>=<span><span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span></span><span><span><span><span>250<span>x2</span></span>−<span>6250x</span></span>+425</span>=0
</span>
Step 3: Use quadratic formula with a=250, b=-6250, c=425.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−6250</span>)</span></span>±<span>√<span><span><span>(<span>−6250</span>)</span>2</span>−<span><span>4<span>(250)</span></span><span>(425)</span></span></span></span></span><span>2<span>(250)</span></span></span></span><span>x=<span><span>6250±<span>√38637500</span></span>500</span></span><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√15455
</span></span></span></span><u>
Answer:</u><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√<span>15455</span></span></span></span></span>
When we multiply our servings by a given amount, we're not multiplying our cost of cake by the same amount. This tells us that this is not proportional. One way to think about proportional relationships, we already said, that the ratio between the variables will be equivalent.
