Answer:
9/16
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 3 x - 3 = 0
Divide both sides by 2:
x^2 + (3 x)/2 - 3/2 = 0
Add 3/2 to both sides:
x^2 + (3 x)/2 = 3/2
Add 9/16 to both sides:
x^2 + (3 x)/2 + 9/16 = 33/16
Write the left hand side as a square:
(x + 3/4)^2 = 33/16
Take the square root of both sides:
x + 3/4 = sqrt(33)/4 or x + 3/4 = -sqrt(33)/4
Subtract 3/4 from both sides:
x = sqrt(33)/4 - 3/4 or x + 3/4 = -sqrt(33)/4
Subtract 3/4 from both sides:
Answer: x = sqrt(33)/4 - 3/4 or x = -3/4 - sqrt(33)/4
Answer:
y=3x+11
Step-by-step explanation:
We have to write the equation of line which is passing through the point (−2,5) and parallel to the line y=3x+1. Hence, equation of straight line in point slope form is (y−5)=3(x+2) and in slope-intercept form is y=3x+11
Answer:
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Step-by-step explanation:
0.2x² − 0.8x = 1.6
Multiply both sides by 5.
x² − 4x = 8
Complete the square by adding 4 to both sides.
x² − 4x + 4 = 12
(x − 2)² = 12
x − 2 = ±√12
x = 2 ± √12
The positive solution is x = 2 + √12 ≈ 5.46.