We read your photo as:

Solve the equation 3x2 − 17x − 6 = 0 using factorization method

July 30, 2026Mathematics

ScanSolve AI Answer

Answer

\textbf{3}

6 steps

Andika nambari zote kama nguvu za 2.
$32 = 2^5$ $8 = 2^3$ $64 = 2^6$
Badilisha nambari hizi kwenye mlinganyo.
$(2^5)^{(x-3)} \div (2^3)^{(x-4)} = 2^6 \div 2^x$
Tumia sheria ya nguvu $(a^m)^n = a^{mn}$ .
$2^{5(x-3)} \div 2^{3(x-4)} = 2^6 \div 2^x$ $2^{5x-15} \div 2^{3x-12} = 2^6 \div 2^x$
Tumia sheria ya kugawanya $a^m \div a^n = a^{m-n}$ .
$2^{(5x-15) - (3x-12)} = 2^{6-x}$ $2^{5x-15-3x+12} = 2^{6-x}$ $2^{2x-3} = 2^{6-x}$
Linganisha viashiria vya nguvu kwa sababu besi ni sawa.
$2x-3 = 6-x$
Tatua kwa $x$ .
$2x+x = 6+3$ $3x = 9$ $x = \frac{9}{3}$ $x = \boxed{\textbf{3}}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Browse by topic:Algebra

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.