Question
upstudy study bank question image url

Laswerk Vir watter waarde (s) van \( k \) Sal \( 2 x^{2}-2 x-k=0 \) gelyk wortels het 2. Bereken die waarde van \( k \), as \( 3 x^{2}-k x+3=0 \) rëel wortels het. 3. Vir watter waarde sal \( 4 x^{2}+3 x+p=0 \) : a) gelyk wortels het? b) ongelyk wortels hat? 4. Vir watter waarde van \( m \) sal \( (m-2) x^{2}-x-m x=7-2 m \)

Ask by Schofield Haynes. in South Africa
Mar 06,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

1. \( k = -\frac{1}{2} \) 2. \( k \leq -6 \) or \( k \geq 6 \) 3. a) \( p = \frac{9}{16} \) b) \( p < \frac{9}{16} \) 4. There is no real value of \( m \) that satisfies the equation for all \( x \). For real roots, \( m \) must be between \( \frac{9 - \sqrt{26}}{2} \) and \( \frac{9 + \sqrt{26}}{2} \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

Vir die gebruik van die diskriminant in kwadratiese vergelykings, kan ons 'n paar interessante feite ondersoek. Wanneer ons na die vergelyking kyk, \( ax^2 + bx + c = 0 \), is die diskriminant \( D = b^2 - 4ac \). Hierdie waarde bepaal die soort wortels: as \( D = 0 \), is daar gelyke wortels; as \( D > 0 \), is daar ongelyke wortels; en as \( D < 0 \), is die wortels kompleks. Aan die ander kant, daar is 'n hele wêreld van toepassings vir kwadratiese vergelykings. Van fisika tot finansies, hulle help ons om 'n verskeidenheid probleme op te los, insluitend die projektering van voorwerpe in 'n baan, optimalisering van werksvloei in produksie, en selfs om die beste prys vir 'n produk te bepaal. Dit is die soort wêreld waarin wiskunde en die werklike lewe hand aan hand gaan!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy