how to solve x squared +14x-24=0 solve using the quadratic formula

Question

alexandervonhumboldt2 · Answer

do you know quadratic formula?

anonymous · Answer

When a quadratic equation is in the form: $$y=ax^{2}+bx+c$$Then you can solve it using the quadratic formula. The quadratic formula is:$$x= \frac{-b \pm \sqrt{b ^{2}-4ac}}{2a}$$And the equation you have is: $$0=x ^{2}+14x-24$$Therefore, you can plug in the values of a, b, and c from your equation into the quadratic formula and solve:
$$x= \frac{-14 \pm \sqrt{14 ^{2}-4(1)(-24)}}{2(1)}$$Which finds your answer:$$-7 \pm \sqrt{73}$$ Which can be found by factoring the square root and dividing -14 and sqrt(296) by 2. 

MAKE SURE YOU LEARN HOW TO DO THIS. THIS IS ONE OF THE MOST IMPORTANT CONCEPTS IN HIGH SCHOOL MATH.