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Use the quadratic formula to solve x^2 + 7x + 8 = 0. Estimate irrational solutions to the nearest tenth. A. {–12, 5} B. {–11.1, –2.9} C. {–5.6, –1.4} D. {–3.9, 12.1}
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\(\large \bf ax^2+bx+c\\\quad\\ \text{quadratic formula}\\ x= \cfrac{ - b \pm \sqrt { b^2 -4ac}}{2a}\)
In other words.....
\(\bf x^2 + 7x + 8 = 0\\ \quad \\ x= \cfrac{ - b \pm \sqrt { b^2 -4ac}}{2a}\implies x= \cfrac{ - (7) \pm \sqrt { (7)^2 -4(1)(8)}}{2(1)}\)
Actual: x=−1.4384471871911697 and x=−5.561552812808831
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