Determine the numbers of solutions for 5x + 12 = 12x + 5.
1 answer:
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Answer:
Step-by-step explanation:
i put into desmos graphing caculater
Answer: (-0.61, 5.85) and (-2.72, 3.04)
<u>Step-by-step explanation:</u>
y = 2x² + 8x + 10
y = -x² - 2x + 5
Use substitution method to get: 2x² + 8x + 10 = -x² - 2x + 5
Move everything to one side and 0 on the other: 3x² + 10x + 5 = 0
Use the quadratic formula to solve for x:
x₁ = -0.61 x₂ = -2.72
Next, input the x-values to solve for y:
y₁ = -x² - 2x + 5 y₂ = -x² - 2x + 5
= -(-0.61)² - 2(-0.61) + 5 = -(-2.72)² - 2(-2.72) + 5
= -0.37 + 1.22 + 5 = -7.40 + 5.44 + 5
= 5.85 = 3.04