SOLUTION: Solve each equation by using the quadratic formula. 10. x^2 + 4x + 3 = 0
Numeric Fractions Calculators, Lesson and Practice
-> SOLUTION: Solve each equation by using the quadratic formula. 10. x^2 + 4x + 3 = 0
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Solve each equation by using the quadratic formula.
10. x^2 + 4x + 3 = 0
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Let's use the quadratic formula to solve for x:
Starting with the general quadratic
the general solution using the quadratic equation is:
So lets solve
Plug in a=1, b=4, and c=3
Square 4 to get 16
Combine like terms in the radicand (everything under the square root)
Simplify the square root (note: If you need help with simplifying the square root, check out this
Multiply 2 and 1 to get 2
So now the expression breaks down into two parts
Lets look at the first part:
Add the terms in the numerator
So one answer is
Now lets look at the second part:
Subtract the terms in the numerator
So another answer is
So our solutions are: