Pls solve it nd tell me some technique(s) to do it easily. Right ans will be marked as brainliest
Answers
Hello friend
#respectgirls and boys
To solve this, you can use the splitting the middle term formula :-
-9x^2+200x + 91
=x=
2(−9)
−200±
200
2
−4(−9)×91
view step
200
x=\frac{-200±\sqrt{40000-4\left(-9\right)\times 91}}{2\left(-9\right)}
x=
2(−9)
−200±
40000−4(−9)×91
view step
-4-9
x=\frac{-200±\sqrt{40000+36\times 91}}{2\left(-9\right)}
x=
2(−9)
−200±
40000+36×91
view step
3691
x=\frac{-200±\sqrt{40000+3276}}{2\left(-9\right)}
x=
2(−9)
−200±
40000+3276
view step
400003276
x=\frac{-200±\sqrt{43276}}{2\left(-9\right)}
x=
2(−9)
−200±
43276
view step
43276
x=\frac{-200±2\sqrt{10819}}{2\left(-9\right)}
x=
2(−9)
−200±2
10819
view step
2-9
x=\frac{-200±2\sqrt{10819}}{-18}
x=
−18
−200±2
10819
view step
x=\frac{-200±2\sqrt{10819}}{-18}
±-2002\sqrt{10819}\approx 208.028844154
x=\frac{2\sqrt{10819}-200}{-18}
x=
−18
2
10819
−200
view step
-200+2\sqrt{10819}\approx 8.028844154
-18
x=\frac{100-\sqrt{10819}}{9}
x=
9
100−
10819
view step
x=\frac{-200±2\sqrt{10819}}{-18}
±2\sqrt{10819}\approx 208.028844154
-200
x=\frac{-2\sqrt{10819}-200}{-18}
x=
−18
−2
10819
−200
view step
-200-2\sqrt{10819}\approx -408.028844154
-18
x=\frac{\sqrt{10819}+100}{9}
x=
9
10819
+100
view step
ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)
\frac{100-\sqrt{10819}}{9}\approx -0.446046897
x_{1}
\frac{100+\sqrt{10819}}{9}\approx 22.66826912
x_{2}
-9x^{2}+200x+91=-9\left(x-\frac{100-\sqrt{10819}}{9}\right)\left(x-\frac{\sqrt{10819}+100}{9}\right)
−9x
2
+200x+91=−9(x−
9
100−
10819
)(x−
9
10819
+100
)