Question

Mohon bantuannya
Bentuk kuadrat sempurna persamaan 2x²-13x+6=0 adalah...​

Answer 1

Jawaban:

Penyelesaian :

2x² - 13x + 6 = 0

• Kuadrat sempurna

[tex]\begin{aligned}\sf \underline{ 2 {x}^{2} - 13x + 6 }&= \sf 0 \: \: \to( \div 2) \\ \sf {x}^{2} - \frac{13}{2} x + 3&= \sf 0 \\ \sf {x}^{2} - \frac{13}{2} x&= \sf - 3 \\ \sf {x}^{2} - \frac{13}{2}x + ( - \frac{13}{4} ) {}^{2} &= \sf - 3 + ( - \frac{13}{4} ) {}^{2} \\ \sf (x - \frac{13}{4} ) {}^{2}&= \sf - 3 + \frac{169}{16} \\ \sf (x - \frac{13}{4}) {}^{2} &= \sf \frac{ - 48 + 169}{16} \\ \sf \red{ (x - \frac{13}{4}) {}^{2} }&= \sf \red{\frac{121}{16} } \end{aligned} [/tex]

Jawaban yang tepat adalah A.

'조슈아' (Svt)