Move 38 to the left side of the equation by adding it to both sides. <span>2x ^2 + 20x + 38 = 0 </span>Use the quadratic formula to find the solutions. <span><span>−b±<span>√<span>b^2 − 4 (ac)/</span></span></span>2a </span>Substitute a = 2, b = 20, and c = 38 into the quadratic formula and solve for x. <span><span>−20±<span>√<span>20 ^2 − 4⋅(2⋅38)/</span></span></span>2⋅2 </span>Simplify. <span>x = −5±√6 </span>The result can be shown in both exact and approximate form. <span><span>x = −5±√6 </span></span><span>x ≈ −2.55051025, −7.44948974</span>
Already you know that answers b and d are not an option because it is saying she can use OVER 45 dollars. So she has to use EQUAL or less then 45 dollars. So the answer has to be A or C. In answer C it is saying she can spend MORE then 2.50 for a bunch where she cant. She has to spend exactly or less then that amount. So your answer is A.
