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Let’s check out your problem:
Write the
quadratic equation
in standard form:
\newline
4
x
+
3
=
x
2
4 x+3=x^{2}
4
x
+
3
=
x
2
\newline
Answer:
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Home
Math Problems
Algebra 2
Quadratic equation with complex roots
Full solution
Q.
Write the quadratic equation in standard form:
\newline
4
x
+
3
=
x
2
4 x+3=x^{2}
4
x
+
3
=
x
2
\newline
Answer:
Move
x
x
x
term right:
Subtract
4
x
4x
4
x
from both sides of the equation to move the term involving
x
x
x
to the right side.
\newline
4
x
+
3
−
4
x
=
x
2
−
4
x
4x + 3 - 4x = x^2 - 4x
4
x
+
3
−
4
x
=
x
2
−
4
x
Move constant right:
Subtract
3
3
3
from both sides of the equation to move the constant term to the right side.
\newline
4
x
+
3
−
4
x
−
3
=
x
2
−
4
x
−
3
4x + 3 - 4x - 3 = x^2 - 4x - 3
4
x
+
3
−
4
x
−
3
=
x
2
−
4
x
−
3
Combine like terms:
Combine like terms on both sides of the equation.
\newline
0
=
x
2
−
4
x
−
3
0 = x^2 - 4x - 3
0
=
x
2
−
4
x
−
3
Standard form:
We have now written the equation in standard form. The standard form of the quadratic equation is
x
2
−
4
x
−
3
=
0
x^2 - 4x - 3 = 0
x
2
−
4
x
−
3
=
0
.
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