1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
I think A.....................
The solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.
<h3>What is the solution for x in the given equation?</h3>
3ax - n/5 = -4
To solve for x, isolate the term that contains x.
3ax - n/5 = -4
3ax = -4 + n/5
Divide each term by the coefficient of x and simplify
3ax/3a = -4/3a + (n/5)/3a
x = -4/3a + (n/5)/3a
multiply (n/5) by the reciprocal of 3a
x = -4/3a + (n/5) × 1/3a
x = -4/3a + n/15a
Therefore, the solution for x in the equation 3ax - n/5 = -4 is x = -4/3a + n/15a.
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Answer:
y=2/3+3
Step-by-step explanation:
Answer:- 100/3 in fraction or you can write I decimal too (33.33)
