Question

Solve the quadratic equation D. −x²+ 7x − 10 = 0

Answer 1

Answer:

x=5 or X=2

Step-by-step explanation:

–x²+7x-10=0

By splitting the middle term,

=>–x²+5x+2x–10=0

=>–x(x-5)+2(x–5)=0

=>(x-5)(–x+2)=0

=>x-5=0 or –x+2=0

=>x=5 or X=2

HOPE U FIND IT HELPFUL...

PLZ MARK ME THE BRAINIEST!!

Answer 2

$\bf\purple{\underline{\boxed{Question}}}$

$\:$

Solve this by Quadratic formula

$\rm{\ -x^{2}+7x-10}$

$\:$

$\bf\purple{\underline{\boxed{Solution}}}$

$\:$

$\tt{-x^{2}+7x-10\:=\:0}$

$\tt{Taking\:(-)\:common\:,}$

$\tt{x^{2}-7x+10\:=\:0}$

$\:$

$\small\tt{where\:\:,}$

$\small\tt{a\:=\:1}$

$\small\tt{b\:=\:7}$

$\small\tt{c\:=\:10}$

$\:$

$\small\tt{using\: formula}\\{\small\tt{D\:=\:b^{2}-4ac}}$

$\:$

$\small\tt{\:=\:7^{2}-4\times1\times10}$

$\small\tt{\:=\:49\:-\:40}$

$\small\tt{D\:=\: 9}$

$\:$

✒$\rm{\ x^{2}-7x+10}$

$\rm{x\:=\:\frac{-b±\sqrt{ \ b^{2}-4ac}}{2a}}$

$\rm{x\:=\:\frac{-(-7)±\sqrt{ 9}}{2\times 1}}$

$\rm{x\:=\:\frac{+7±\sqrt{ 9}}{2}}$

$\rm{x\:=\:\frac{7±3}{2}}$

$\:$

$\small\tt{There\:are\:2\:possible\:values}$

$\:$

$\small\tt{1)\:\:Postive\:}$

$\tt{x\:=\:\frac{7+3}{2}}$

$\tt{x\:=\:{\cancel\frac{10}{2}}}$

$\tt{x\:=\:5}$

$\:$

$\small\tt{2)\:\:Negetive\:}$

$\tt{x\:=\:\frac{7-3}{2}}$

$\tt{x\:=\:{\cancel\frac{4}{2}}}$

$\tt{x\:=\:2}$

$\:$

$\bf\purple{\underline{\boxed{Thanks}}}$