Question

$x {}^{2} - x - 30$
find zeroes

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Answer 1

$x^2-x-30$

${\pink{\bold{\text{Factors of -30 whose sum or difference is -1}}}}$

${\red{\bold{\text{are \left(-6\right)\times5}}}}$

$\implies$$x^2-6x+5x-30$

${\blue{\bold{\text{By taking common in each pair}}}}$

$x\left(x-6\right)+5\left(x-6\right)$

${\blue{\bold{\text{Again, by taking common}}}}$

${\blue{\bold{\text{We get}}}}$

$\left(x-6\right)\left(x+5\right)$

${\orange{\bold{\text{Let it be equal to zero}}}}$

$\left(x-6\right)\left(x+5\right)=0$

$\implies$$\left(x-6\right)=0$⠀⠀$\left(x+5\right)=0$

${\blue{\bold{\text{We get}}}}$

$x=6$⠀⠀$x=-5$

Answer 2

$\boxed{\boxed{\huge{\red{\mathfrak{Answer}}}}}$

${x}^{2} - x - 30 = 0\\ {x}^{2} - 6x + 5x - 30 = 0 \\ x(x - 6) + 5(x - 6) = 0\\ (x - 6)( x + 5) = 0\\ x - 6 = 0 \: \: \: \: \: \: or \: \: \: \: \: \: x + 5 = 0 \\ x = 6 \: \: \: \: \: \: or \: \: \: \: \: \: x = - 5$

${\bold{\blue{\text{Hope It Helps Dear}}}}$

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