Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=50</span><span>c=50</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅50)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅50)</span></span></span><span>2⋅-1</span></span></span>Simplify.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span>The result can be shown in both exact and approximate form.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span><span>x≈7.07106781,−<span>7.07106781
The probability that two events occur is equal to the product of the individual events happening or occurring. For this item, we let x be the probability that is unknown such that the relationship between them may be expressed as, (3/5)(x) = 33/95 The value of x from the equation is 11/19.
