Answer:
Well.
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<em> 2 solutions </em>
x =(-7-√65)/2=-7.531
<em> x =(-7+√65)/2= 0.531</em>
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Using the quadratic formula..
2.3 Solving x2+7x-4 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = 7
C = -4
Accordingly, B2 - 4AC =
49 - (-16) =
65
Applying the quadratic formula :
-7 ± √ 65
x = —————
2
√ 65 , rounded to 4 decimal digits, is 8.0623
So now we are looking at:
x = ( -7 ± 8.062 ) / 2
<em> </em><em> \ /</em>
<em> Two real solutions:</em>
<em> x =(-7+√65)/2= 0.531</em>
<em> or:</em>
<em> x =(-7-√65)/2=-7.531</em>
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*eliza*