Answer :
The answer to the given question is -4/3 or 1/2
The product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Firstly, let's write the algebraic expression for the above statement and represent the number as x.
The algebraic expression can be written as:
(6 x x²) + 5x = 4
6x² + 5x = 4
The other expression can also be written as:
6x² + 5x - 4 = 0
Secondly, we must factorize the algebraic expression to solve for x.
6x² - 3x + 8x - 4 = 0
3x (2x - 1) + 4 (2x + 1) = 0
(3x + 4)(2x - 1) = 0
Thirdly, we need to solve for x.
3x + 4 = 0
3x = -4
Now, we need to divide both sides by 3.
3x/3 = -4/3
x = -4/3
or
2x - 1 = 0
2x = 1
Now, we need to divide both sides by 2.
2x/2 = 1/2
x = 1/2
Hence, the values that the number could be is -4/3 or 1/2.
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