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nevsk [136]
4 years ago
12

Solve the quadratic equation below for the exact values of x: 4x^2-5=75

Mathematics
1 answer:
grandymaker [24]4 years ago
6 0

Step-by-step explanation:

4 {x}^{2}  - 5 = 75 \\ 4 {x}^{2}  = 75 + 5 \\ 4 {x}^{2}  = 80 \\  {x}^{2}  =  \frac{80}{4}  \\  {x}^{2}  = 20 \\ x = \pm \sqrt{20}  \\ x = \pm 2 \sqrt{5}

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I need help with this problem please.
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I just kept switching around the numbers till the sixes were separated by a factor of 1,000. This means that if the 6 is in a place, that if you multiply the 6 by 1,000, you'll get the place that the other 6 is in.

For 63,363, there is one 6 in the tens place and one in the ten thousands place. 60 x 1,000 = 60,000, which is where the first 6 is in. They are separated by x1,000. 

For 36,336, there is a 6 in the ones place and a 6 in the thousands place. 6 x 1,000 = 6,000, and there is a 6 in the thousands place. They are separated by x1,000.

(Hope the explanation helped!)
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