Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

x^(2)+8x+15=

x2+8x+15= x^{2}+8 x+15=

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Powers with negative basesright chevron icon

Full solution

Q. x2+8x+15= x^{2}+8 x+15=
  1. Identify Equation Type: Identify the type of equation.\newlineWe got a quadratic equation here, x2+8x+15x^2 + 8x + 15.
  2. Factor Quadratic Equation: Factor the quadratic equation.\newlinex2+8x+15x^2 + 8x + 15 can be factored into (x+3)(x+5)(x + 3)(x + 5).
  3. Solve for x: Set each factor equal to zero and solve for x.\newlinex+3=0x + 3 = 0 or x+5=0x + 5 = 0, so x=−3x = -3 or x=−5x = -5.
  4. Check Solutions: Check the solutions in the original equation.\newlinePlug x=−3x = -3 into x2+8x+15x^2 + 8x + 15: (−3)2+8(−3)+15=9−24+15=0(-3)^2 + 8(-3) + 15 = 9 - 24 + 15 = 0.\newlinePlug x=−5x = -5 into x2+8x+15x^2 + 8x + 15: (−5)2+8(−5)+15=25−40+15=0(-5)^2 + 8(-5) + 15 = 25 - 40 + 15 = 0.\newlineBoth solutions make the equation true.

More problems from Powers with negative bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 2 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 1 month ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 3 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 4 days ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 1 month ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 1 month ago

View all (124)