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Example Solve 3x2 - 2 x -11 = 0.
Solution
In this case the polynomial doesn't factor thus we can't do that step. Though, still we do have to know where the polynomial is zero. We ought to use the quadratic formula for that. Here is what the quadratic formula gives us.
x = (1 ± √ 34)/3
In order to work the problem we'll have to reduce this to decimals.
x = (1 +√34)/3 = 2.27698 x = (1 -√34) /3 = -1.61032
From this instance on the procedure is identical to the earlier examples. In the number line below the dashed lines are at the estimated values of the two decimals above & the inequalities illustrate the value of the quadratic evaluated at the test points illustrated.
Thus, it looks like we required the two outer regions for the solution. Here is the inequality & interval notation for the solution.
-∞ < x < (1 - √34 )/3 and ( 1 + √34 )/3 -∞, (1- √ 34) /3 and ( 1 +√34 /3, , ∞ )
-∞, (1- √ 34) /3 and ( 1 +√34 /3, , ∞ )
2x+5=-8
-8x+9x-13x
if im working out a problem that say 16 - t over 10 = -8 what be the answer
(4X^3y^-2z^0)^3
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show that -b/b-a may be properly changed to b/a-b...show steps
(^5square root of 38)^3 Round your answer to 2 decimal places A.8.9 B.8.86 C.8.87 D.429.51
A three-digit number between 600 and 700 is one less than 30 times the sum of the digits. Of the tens digit is one less than the unit digit, what is the number?
A bullet is shot upwards with an initial velocity of 100 ft/sec from a point 12 ft above the ground, and its height above the ground at time t is given by h(t)= -16t^2 + 100t +12
which of the following value for x falls within the domain of the absolute inequality below? 2/3|9+x|>4
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