Solve the quadratic equation x 2-9 x -20-0A- 4-5B- -5-1C- 5-1D- -2-3

The correct option is A 4,5 Given: x^2 9x+20 =0, nbsp; x^2 4x 5x +20 =x(x 4) 5(x 4) ⇒ (x 4)(x 5)=0 ⇒ (x 4)=0 or (x 5)=0 ⇒ x=4,5 The roots of the equation ...

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Solving a Quadratic Equation by Splitting the Middle Term

Solve the qua...

Question

Solve the quadratic equation $x^{2} - 9 x + 20 = 0.$

5,1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4,5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-5,-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-2,3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
4,5

Given: $x^{2} - 9 x + 20 = 0$ ,
$x^{2} - 4 x - 5 x + 20 = x (x - 4) - 5 (x - 4) \Rightarrow (x - 4) (x - 5) = 0 \Rightarrow (x - 4) = 0 o r (x - 5) = 0 \Rightarrow x = 4, 5$
The roots of the equation $x^{2} - 9 x + 20 = 0$ are 4,5.

Suggest Corrections

Solve the quadratic equation x2−9x+20=0.

The correct option is B 4,5 Given: x2−9x+20=0, x2−4x−5x+20=x(x−4)−5(x−4)⇒(x−4)(x−5)=0⇒(x−4)=0 or (x−5)=0⇒x=4,5 The roots of the equation x2−9x+20=0 are 4,5.

Solve the quadratic equation $x^{2} - 9 x + 20 = 0.$

The correct option is B
4,5

Given: $x^{2} - 9 x + 20 = 0$ ,
$x^{2} - 4 x - 5 x + 20 = x (x - 4) - 5 (x - 4) \Rightarrow (x - 4) (x - 5) = 0 \Rightarrow (x - 4) = 0 o r (x - 5) = 0 \Rightarrow x = 4, 5$
The roots of the equation $x^{2} - 9 x + 20 = 0$ are 4,5.