Respuesta :
The solution of the quadratic equation is x= 1 ± √47. The correct option is D.
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given expression is, 2x²+ 3x – 7 = x² + 5x + 39. Then the equation will be solved as below:-
The solution to the expression is,
2x² + 3x – 7 = x² + 5x + 39
x² - 2x - 46 = 0
( x - 1 )² - 1 - 46 = 0
( x -1 ) ² = 47
( x - 1 ) = ±√47
x = 1 ±√47
Therefore, the solution of the quadratic equation is x = 1 ± √47. The correct option is D.
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