How do you find the solution to the quadratic equation #x^2 - 4x -3 = 0#?
3 Answers
Explanation:
#"there are no whole numbers which multiply to - 3"#
#"and sum to - 4"#
#"we can solve using the method of "color(blue)"completing the square"#
#"the coefficient of the "x^2" term is 1"#
#• " add subtract "(1/2"coefficient of the x-term")^2" to"#
#x^2-4x#
#rArrx^2+2(-2)xcolor(red)(+4)color(red)(-4)-3=0#
#rArr(x-2)^2-7=0#
#rArr(x-2)^2=7#
#color(blue)"take the square root of both sides"#
#rArrx-2=+-sqrt7larrcolor(blue)"note plus or minus"#
#rArrx=2+-sqrt7larrcolor(red)"exact solutions"#
x =
Explanation:
Apply quadratic formula for this equation instead of trying to factor it out.
1/
2/
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4/
5/ x =
Explanation:
Here,
OR
Comparing with quadratic equation,
So,