SOLUTION: Give exact and approximate solutions to 3 decimal places. x^2 - 7x + 5 = 0 What are the exact solutions? What are the approximate solutions to 3 decimal places. I am

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Give exact and approximate solutions to 3 decimal places. x^2 - 7x + 5 = 0 What are the exact solutions? What are the approximate solutions to 3 decimal places. I am       Log On


   

Question 132223: Give exact and approximate solutions to 3 decimal places.

x^2 - 7x + 5 = 0
What are the exact solutions?
What are the approximate solutions to 3 decimal places.
I am confused with the whole problem, but also after you figure out the exact solutions how do you determine the approximate ones?
Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X^2-7X+5=0
USING THE QUADRATIC EQUATION:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ WE GET:
X=(7+-SQRT[-7^2-4*1*5])/2*1
X=(7+-SQRT[49-20])/2
X=(7+-SQRT{29])/2
X=(7+-5.3851648)/2
X=(7+5.3851648)/2
X=3.6925824 ANSWER. OR APPROXIMATELTY 3.693
X=(7-5.3851648)/2
X=1.6148352 ANSWER. OR APPROXIMATELY 1.615

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Give exact and approximate solutions to 3 decimal places.
x^2 - 7x + 5 = 0
What are the exact solutions?
x = [7 +-sqrt(7^2 -4*1*5)]/2
x = [7 +-sqrt(69)]/2
x = [7 + sqrt(69)]/2 or x = [7 - sqrt(69)]/2

What are the approximate solutions to 3 decimal places.
x = [7 + 6.3066]/2 = 7.6533.. or x = [7 - 6.3066]/2 = 0.3467
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Cheers,
stan H.