A. Write The Equation 15 – 4k = -3k2in Standard Form.​

A. Write the equation 15 – 4k = -3k2in standard form.​

✏️Equation

============================

A. Write the equation 15 – 4k = -3k2in standard form.

→Rearrange terms

  • [tex]\purple{\boxed{\tt15 – 4k = – 3k²}}[/tex]
  • [tex]\purple{\boxed{\tt – 4k + 15 = – 3k²}}[/tex]

→Move terms to the left side

  • [tex]\tt \: 4k + 15 = – 3k²[/tex]
  • [tex]\tt4k + 15 – – 3k² = 0[/tex]

→Rearrange terms

  • [tex]\tt4k + 15 – – 3k² = 0[/tex]
  • [tex]\green{\boxed{\tt3k² – 4k + 15 = 0}}[/tex]

→Use the quadratic formula

  • [tex]\tt \: k = \green{\boxed{\tt \frac{ – b + \sqrt{b² – 4ac} }{2a} }}[/tex]

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

  • [tex]\green{\boxed{\tt3k² – 4k + 15 = 0}}[/tex]
  • [tex]\red{\boxed{\tt \: a = 3}}[/tex]
  • [tex]\red{\boxed{\tt \: b = – 4}}[/tex]
  • [tex]\blue{\boxed{\ \: c = 15}}[/tex]

[tex]\tt \: k = \blue{\boxed{\tt \frac{ – ( – 4) + \sqrt{( – 4)² – 4.3.15} }{2.3} }}[/tex]

→Simplify

  • Evaluate the exponent
  • Multiply the numbers
  • Subtract the numbers
  • Multiply the numbers

[tex]\tt \: k = \frac{4 + \sqrt{ – 164} }{6} [/tex]

→No real solutions because the discriminant is negative

  • The square root of a negative number is not a real number

[tex]\green{\boxed{\tt \: d = -164}}[/tex]

===============================

#CarryOnLearning

(ノ^_^)ノ

A. Write The Equation 15 – 4k = -3k2in Standard Form.​

house wallpaper 4k luxury modern wallpapers small architecture homes bungalow different contemporary houses plans beautiful blueprints interior bangalore understanding essentials

House wallpaper 4k luxury modern wallpapers small architecture homes bungalow different contemporary houses plans beautiful blueprints interior bangalore understanding essentials. House wallpapers. 2560×1080 kids tree house 2560×1080 resolution wallpaper, hd fantasy 4k

Houses For Wallpapers / Picturesque Old House UHD Desktop Wallpaper for

uhd

Man made house 4k ultra hd wallpaper. Free download beautiful house 4k hd desktop wallpaper for 4k ultra hd. 89 4k ultra hd house wallpapers

See also  The Distance That A Car Can Trav Varies Directly With The Number Of Liters Of Gasoline...

Modern House Wallpapers - Wallpaper Cave

house wallpaper modern wallpapers beautiful backgrounds homes building desktop architecture melbourne wall cool computer size victorian wallpapersafari wednesday 1080 1920

House 4k wallpapers. 91 4k ultra hd house wallpapers. Man made house 4k ultra hd wallpaper

House 4k Wallpapers - Top Free House 4k Backgrounds - WallpaperAccess

dated ctt

House wallpaper 4k wallpapers man made ultra background size big wall backgrounds desktop alphacoders click. House 4k wallpapers. House 4k wallpapers

Kame House Wallpapers - Wallpaper Cave

kame dbz kamehouse cdna shenron anais gabriel

House wallpaper 4k ultra background wall wallpapers man made. Kame dbz kamehouse cdna shenron anais gabriel. Kame house wallpapers

Man Made House 4k Ultra HD Wallpaper

house wallpapers 4k wallpaper ultra background small plans wrap around porch wall beautiful porches google 1920 click size country alphacoders

House 4k wallpapers. Wallpaper francisco san house neighborhood 4k city building suburb background desktop ultra wallpapers skyline urban alamo square town residential buildings. Man made house 4k ultra hd wallpaper

2560x1080 Kids Tree House 2560x1080 Resolution Wallpaper, HD Fantasy 4K

Modern house wallpapers. House 4k wallpapers. Wallpaper house wallpapers 4k ultra background preview click size