Help please solve math equations for middle schoolers in 7th grade!

Mathematics

1 answer:

lubasha [3.4K]1 year ago

6 0

A.) 7x^3 + 8x^2 + 7x + 11
b.) 11x^2 + x + 1
c.) 5x^2 - x - 20
d.) 6x^3 + 6x^2 + 2x - 9
e.) 2x^2 + 9x +2
f.) 6x^3 + 7x + 1 - 3x^2
g.) -x • (5x - 9 + 2x^3)
h.) -5x^3 + 13x + 1

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Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?

vampirchik [111]

Answer:

$\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of}$

$ax^2+bx+c=0$

$\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================$

$\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}$