Solve for x: 4/5x +4/3=2x

Mathematics

2 answers:

pav-90 [236]3 years ago

5 0

4/5x+ 4/3=2x
-11/5x=-4/3
6/5x=4/3
(5/6)6/5x=(5/6)4/3
x=10/9 or x=11/9

d1i1m1o1n [39]3 years ago

3 0

To simplify an equation you should remember we can only combine the like terms first separate the terms we can put all terms with variable in one side and the constants on the other side (4/5)x+(4/3)=2x. 2x-(4/5)x=4/3. (6/5)x=4/3. X=10/9

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Mariulka [41]

Answer:

Part 1) $x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})$

Part 2) $x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

Part 1)

in this problem we have

$x^{2} -2x-2=0$

$a=1\\b=-2\\c=-2$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}$