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- Equation:
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Equation 10x-11=4x-7
- Equation (3-а)(3+а)-а(8-а)
- Equation sqrt(3)sinx-3cosx=0
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Equation sqrt(2*cos(x))-1=0
- Express {x} in terms of y where:
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Identical expressions
- (three -а)(three +а)-а(eight -а)
- (3 minus а)(3 plus а) minus а(8 minus а)
- (three minus а)(three plus а) minus а(eight minus а)
- 3-а3+а-а8-а
-
Similar expressions
- (3-а)(3-а)-а(8-а)
- (3-а)(3+а)-а(8+а)
- (3+а)(3+а)-а(8-а)
- (3-а)(3+а)+а(8-а)
(3-а)(3+а)-а(8-а) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
(3 - a)*(3 + a) - a*(8 - a) = 0
$$- a \left(8 - a\right) + \left(3 - a\right) \left(a + 3\right) = 0$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Move free summands (without a)
from left part to right part, we given:
$$- 8 a = -9$$
Divide both parts of the equation by -8
We get the answer: a = 9/8
(3-a)*(3+a)-a*(8-a) = 0
Expand expressions:
9 - a^2 - a*(8 - a) = 0
9 - a^2 + a^2 - 8*a = 0
Reducing, you get:
9 - 8*a = 0
Move free summands (without a)
from left part to right part, we given:
$$- 8 a = -9$$
Divide both parts of the equation by -8
a = -9 / (-8)
We get the answer: a = 9/8
Sum and product of roots
[src]
sum
9/8
$$\frac{9}{8}$$
=
9/8
$$\frac{9}{8}$$
product
9/8
$$\frac{9}{8}$$
=
9/8
$$\frac{9}{8}$$
9/8