Final answer to the problem
$x=\frac{7+\sqrt{29}}{2},\:x=\frac{7-\sqrt{29}}{2}$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve problems step by step online. Solve the quadratic equation -x^2+7x+-5=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-7x+\frac{49}{4}. Simplify the addition \left(x- \frac{7}{2}\right)^2+5-\frac{49}{4}.
Final answer to the problem
$x=\frac{7+\sqrt{29}}{2},\:x=\frac{7-\sqrt{29}}{2}$
