Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
x<3/8
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Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
x+1/4<5/8
Step 2: Subtract 1/4 from both sides.
x + 1/4 - 1/4 < 5/8 - 1/4
x<3/8
1) 48% of 8=3.84
2) 3% of 119=3.57
3) 26% of 32=8.32
4) <span>76% of 280=212.8
Hope this helps ya!</span>