Question

This is algebra 1 Quadratics I need help with this 9th grade I need help with it

Answer 1

Answer:

Steven's mistake was made on line 2, rather than jotting down '49', left it as '-49'. This threw off his entire equation. The actual x intercepts are x = 2 and x = 5. Explanation is below  

Explanation:

$=\frac{7+\sqrt{-7^2-4(1)(10)} }{2(1)} \\\\=\frac{7+\sqrt{49-40}}{2\cdot \:1} \\\\=\frac{7+\sqrt{9}}{2\cdot \:1}\\\\=\frac{10}{2} = 5\\x=5$

$=\frac{7-\sqrt{\left(-7\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}\\=\frac{7-\sqrt{9}}{2\cdot \:1}\\=\frac{7-3}{2}\\=\frac{4}{2} \\x=2$