The quadratic equation
ax2+bx+c=0
can be solved by using the quadratic formula
−b±√b2−4ac2a
Example
Use the quadratic formula to find the solutions of the following equations.
a. x2+5x−24=0
b. x(x+4)=10
Answer
(a)
For the equation x2+5x−24=0
(b)
x(x+ 4) = 10x2+4x−10=0a=1, b=4, c=−10x=−b±√b2−4ac2ax=−(4)±√(4)2−4(1)(−10)2(1)x=−4±√562x=1.742 or x=−5.742
−b±√b2−4ac2a
Example
Use the quadratic formula to find the solutions of the following equations.
a. x2+5x−24=0
b. x(x+4)=10
Answer
(a)
For the equation x2+5x−24=0
a = 1, b = 5, c = -24
x=−b±√b2−4ac2ax=−(5)±√(5)2−4(1)(−24)2(1)x=−5±√1212x=−8 or x=3
(b)
x(x+ 4) = 10x2+4x−10=0a=1, b=4, c=−10x=−b±√b2−4ac2ax=−(4)±√(4)2−4(1)(−10)2(1)x=−4±√562x=1.742 or x=−5.742
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