Question

USING QUADRATIC METHOD
${ax }^{2} + bx + c$
${x}^{2} + 17x + 30$
​

Answer 1

$\huge\mathbb{SOLUTION:-}$

Given:-

A quadratic equation

$\sf x{}^{2}+17x+30$

• We can factorize this by using

• Middle split term

Now

$\sf\underline{\pink{Solution:-}}$

$\sf:\implies x{}^{2}+17x+30\\ \\ \sf\:\:taking\: factor\:of\:30= 15\times 2\\ \\ \sf :\implies x{}^{2}+(15+2)x+30\\ \\ \sf:\implies x{}^{2}+15x+2x+30\\ \\ \sf:\implies x(x+15)+2(x+15)\\ \\ \sf:\implies (x+15)(x+2)$

Answer 2

Answer:

GIVEN QUADRATIC EQUATION :-

=》 X² + 17x + 30 = 0

=》 x² + 15x + 2x + 30 = 0

=》 x ( x + 15 ) + 2 ( x + 15 ) = 0

=》 ( x + 2 ) ( x + 15 ) = 0

SO ,

X = -2 , X = -15