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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Apply the formula: $\left(a+b\right)^2$$=a^2+2ab+b^2$, where $a=7$, $b=-x$ and $a+b=7-x$

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

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

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Learn how to solve equazioni quadratiche problems step by step online. Solve the quadratic equation x^2+(7-x)^2=25. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=7, b=-x and a+b=7-x. 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. Apply the formula: a+b=a+b, where a=25, b=-49 and a+b=25-49.

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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1
2
3
4
5
6
7
8
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

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Main Topic: Equazioni quadratiche

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