Find X such that: 7x + 24x = 25x

Mathematics

2 answers:

Vilka [71]3 years ago

6 0

Answer:

$\boxed{ x = 0}$

Step-by-step explanation:

7x + 24x = 25 x

31 x = 25 x

Subtracting 25x to both sides

31x - 25x = 0

6x = 0

Dividing both sides by 6

=> x = 0

Svetllana [295]3 years ago

6 0

Answer:

x = 0

Step-by-step explanation:

7x + 24x = 25x

Combine like terms.

31x = 25x

Subtract 25x on both sides.

6x = 0

Divide both sides by 6.

x = 0

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What multiplies to -29 and adds to 1

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First set up equation
x times y=xy

so
xy=-29
and
x+y=1
subtract x from both sides
y=1-x
subsitute 1-x for y in first equation
x(1-x)=-29
distribute
x-x^2=-29
add x^2 to both sides
x=-29+x^2
subtract x from both sides
0=x^2-x-29
so we can use the quadratic formula to solve for x if the equation=0 and it is in ax^2+bx+c form so

if
ax+bx+c=0 then x= $\frac{ -b+/-\sqrt{b^2-4ac} }{2a}$ that means x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$ so

x^2-x-29
a=1
b=-1
c=-29
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the second number is
$\frac{ -(-1)+\sqrt{-1^2-4(1)(-29)} }{2(1)}=\frac{ +1+\sqrt{1^2+(-116)} }{2(1)}= \frac{1+10.816653826392}{2} = \frac{ +1+\sqrt{117} }{2}= \frac{10.816653826392}{2}=5.908326913196$

the two numbers are
5.908326913196 and
-4.908326913196

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