Solve the quadratic equation $x^2+\left(7-x\right)^2=25$

Step-by-step Solution

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Final answer to the problem

$x=3,\:x=4$
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Step-by-step Solution

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A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$

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$x^2+49-14x+x^2=25$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+(7-x)^2=25. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Combining like terms x^2 and x^2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 25 and -49.

Final answer to the problem

$x=3,\:x=4$

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Function Plot

Plotting: $x^2+\left(7-x\right)^2-25$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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